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João Paulo Dias obteve o Título de Agregado em 1975/10/25 pela Universidade de Lisboa, Licenciatura em Ciências Matemáticas em 1966/07 pela Universidade de Lisboa, Faculdade de Ciências e Doutoramento em Matemática em 1971/03/19 pela Université Paris VI (agora Sorbonne Université, Campus Pierre et Marie Curie). Publicou mais de 80 artigos em revistas especializadas. Coorientou 3 teses de doutoramento. Participa ou participou como Investigador em mais de 5 projetos e como Investigador responsável em 2 projetos. Atua na área de Ciências Exatas com ênfase em Matemática. No seu currículo Ciência Vitae os termos mais frequentes na contextualização da produção científica são Análise Não Linear e Equações Diferenciais com Derivadas Parciais.
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Identification

Personal identification

Full name
João Paulo de Carvalho Dias

Citation names

  • J P Dias
  • João-Paulo Dias

Author identifiers

Ciência ID
2C1E-5E64-1107
ORCID iD
0000-0002-9246-7497

Telephones

Telephone
  • 217500000 Ext.: 526214 (Professional)

Addresses

  • Departamento de Matemática, Faculdade de Ciências da Universidade de Lisboa, 1749-016 , Lisboa, Lisboa, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
French Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Portuguese (Mother tongue)
English Upper intermediate (B2) Advanced (C1) Upper intermediate (B2) Advanced (C1) Advanced (C1)
Education
Degree Classification
1975/10/25
Concluded
 Provas públicas (Título de Agregado)
Major in Matemática
Universidade de Lisboa, Portugal
 Aprovado
1967/10 - 1971/03/19
Concluded
 Sem curso (Docteur)
Major in Matemática
Sorbonne Université Campus Pierre et Marie Curie, France
 Très Honorable
1962/10 - 1966/07
Concluded
 Ciências Matemáticas (Licenciatura)
Universidade de Lisboa Faculdade de Ciências, Portugal
 18
Affiliation

Science

Category
Host institution 		Employer
1972/09/01 - 1976/06 Researcher (Research) Instituto de Alta Cultura, Portugal
Instituto de Alta Cultura, Portugal
1971/10/01 - 1972/09/30 Postdoc (Research) Instituto de Alta Cultura, Portugal
Instituto de Física e Matemática, Portugal
1967/10/01 - 1971/09/30 Research Trainee (Research) Fundação Calouste Gulbenkian, Portugal
Sorbonne Université Campus Pierre et Marie Curie, France
1966/10/01 - 1967/09/30 Research Trainee (Research) Fundação Calouste Gulbenkian, Portugal
Centro de Estudos Matemáticos de Lisboa, Portugal

Teaching in Higher Education

Category
Host institution 		Employer
1979/12 - 2014/11/18 Full Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal

Others

Category
Host institution 		Employer
1976/06 - 1979/09/30 Professor Extraordinário (Docente Universitário) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Faculdade de Ciências, Portugal
Projects

Contract

Designation Funders
2020/01/01 - 2023/12/31 Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
UIDP/04561/2020
Researcher
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Ongoing
2020/01/01 - 2023/12/31 Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
UIDB/04561/2020
10.54499/UIDB/04561/2020
Researcher
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/01/01 - 2019/12/31 Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
UID/MAT/04561/2019
Researcher
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Concluded
2015/01/01 - 2018/12/31 Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
UID/MAT/04561/2013
Researcher
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Concluded
2011/02/01 - 2014/01/31 Nonlinear Hyperbolic Systems: Theory and Numerical approximation
PTDC/MAT/110613/2009
Researcher
Universidade de Lisboa Centro de Matemática e Aplicações Fundamentais, Portugal
 Fundação para a Ciência e a Tecnologia
1990/12/01 - 1994/09/30 Sistemas Hiperbólicos e Equações Cinéticas
PMCT/C/CEN/18/90
Principal investigator
Junta Nacional de Investigação Científica e Tecnológica, Portugal
Concluded
1988/01/01 - 1989/12/31 Equações Hiperbólicas e Aproximação Numérica
PMCT 87568
Principal investigator
Junta Nacional de Investigação Científica e Tecnológica, Portugal
Concluded
Outputs

Publications

Book chapter
  1. Dias, João-Paulo; Figueira, Mário. "The Cauchy problem for the Dirac equation with cubic nonlinearity in three space dimensions". In New Methods and Results in Non-linear Field Equations, 71-78. Springer-Verlag, 1989.
    Published • 10.1007/bfb0025762
Conference paper
  1. Sequeira, A.; Dias, J.-P.; Valli, A.; Secchi, P.; Berselli, L.; Crispo, F.. "Tributes to Hugo Beirão da Veiga". 2016.
    10.1090/conm/666/13293
Journal article
  1. Paulo Amorim; Jean-Baptiste Casteras; João-Paulo Dias. "On the Existence and Partial Stability of Standing Waves for a Nematic Liquid Crystal Director Field Equations". Milan Journal of Mathematics (2024): http://dx.doi.org/10.1007/s00032-024-00395-8.
    10.1007/s00032-024-00395-8
  2. João-Paulo Dias; Hermano Frid. "On Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler Equations". Communications in Mathematical Analysis and Applications 2 3 (2023): 289-303. http://dx.doi.org/10.4208/cmaa.2023-0005.
    10.4208/cmaa.2023-0005
  3. Amorim, P.; Dias, J.-P.; Martins, A.F.. "On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam". Partial Differential Equations and Applications 4 4 (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85165387241&partnerID=MN8TOARS.
    10.1007/s42985-023-00256-w
  4. João Paulo Dias; Hermano Frid. "On Short Wave-Long Wave Interactions in the Relativistic Context". Communications in Mathematical Analysis and Applications 1 2 (2022): 263-284. http://dx.doi.org/10.4208/cmaa.2021-0006.
    10.4208/cmaa.2021-0006
  5. Dias, J.-P.. "A Quasilinear System Related with the Asymptotic Equation of the Nematic Liquid Crystal’s Director Field". Chinese Annals of Mathematics. Series B 42 2 (2021): 163-172. http://www.scopus.com/inward/record.url?eid=2-s2.0-85103563076&partnerID=MN8TOARS.
    10.1007/s11401-021-0251-z
  6. Dias, J.-P.; Oliveira, F.; Tavares, H.. "On a coupled system of a Ginzburg-Landau equation with a quasilinear conservation law". Communications in Contemporary Mathematics 22 7 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85067346939&partnerID=MN8TOARS.
    10.1142/S0219199719500548
  7. Dias, J.-P.. "Linear stability of shock profiles for a quasilinear Benney system in R2× R+". Journal of Hyperbolic Differential Equations 17 4 (2020): 797-807. http://www.scopus.com/inward/record.url?eid=2-s2.0-85100572996&partnerID=MN8TOARS.
    10.1142/S0219891620500253
  8. Dias, J.-P.; Freitas, P.. "Decay of solutions for a class of nonlinear Schrödinger equations in R and the stability of shock profiles for a quasilinear Benney system". Nonlinearity 31 3 (2018): 1110-1119. http://www.scopus.com/inward/record.url?eid=2-s2.0-85042539548&partnerID=MN8TOARS.
    10.1088/1361-6544/aaaa09
  9. Dias, J.-P.; LeFloch, P.G.. "A new approach to the Cauchy and Goursat problems for the nonlinear Wheeler–DeWitt equation". Nonlinear Differential Equations and Applications 25 2 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85042535654&partnerID=MN8TOARS.
    10.1007/s00030-018-0503-0
  10. Dias, J.-P.; Oliveira, F.. "On a quasilinear nonlocal Benney system". Journal of Hyperbolic Differential Equations 14 1 (2017): 135-156. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016015279&partnerID=MN8TOARS.
    10.1142/S0219891617500047
  11. Dias, J.-P.; Figueira, M.; Konotop, V.V.. "The cauchy problem for coupled nonlinear Schrödinger equations with linear damping: Local and global existence and blowup of solutions". Chinese Annals of Mathematics. Series B 37 5 (2016): 665-682. http://www.scopus.com/inward/record.url?eid=2-s2.0-84982252285&partnerID=MN8TOARS.
    10.1007/s11401-016-1006-0
  12. Dias, J..-P.; Figueira, M.; Konotop, V.V.. "Coupled Nonlinear Schrödinger Equations with a Gauge Potential: Existence and Blowup". Studies in Applied Mathematics 136 3 (2016): 241-262. http://www.scopus.com/inward/record.url?eid=2-s2.0-84947976218&partnerID=MN8TOARS.
    10.1111/sapm.12102
  13. Dias, J.-P.; Figueira, M.; Oliveira, F.. "Existence and linearized stability of solitary waves for a quasilinear Benney system". Proceedings of the Royal Society of Edinburgh Section A: Mathematics 146 3 (2016): 547-564. http://www.scopus.com/inward/record.url?eid=2-s2.0-84961252773&partnerID=MN8TOARS.
    10.1017/S0308210515000578
  14. Cazenave, T.; Dias, J.-P.; Figueira, M.. "Finite-time blowup for a complex Ginzburg-Landau equation with linear driving". Journal of Evolution Equations 14 2 (2014): 403-415. http://www.scopus.com/inward/record.url?eid=2-s2.0-84901246118&partnerID=MN8TOARS.
    10.1007/s00028-014-0220-z
  15. Antontsev, S.; Dias, J.-P.; Figueira, M.. "Complex ginzburg-landau equation with absorption: Existence, uniqueness and localization properties". Journal of Mathematical Fluid Mechanics 16 2 (2014): 211-223. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904613345&partnerID=MN8TOARS.
    10.1007/s00021-013-0147-0
  16. Dias, J.-P.; Figueira, M.; Konotop, V.V.; Zezyulin, D.A.. "Supercritical blowup in coupled parity-time-symmetric nonlinear schrödinger equations". Studies in Applied Mathematics 133 4 (2014): 422-440. http://www.scopus.com/inward/record.url?eid=2-s2.0-84911985081&partnerID=MN8TOARS.
    10.1111/sapm.12063
  17. Dias, J.-P.; Figueira, M.. "On the blowup of solutions of a Schrödinger equation with an inhomogeneous damping coefficient". Communications in Contemporary Mathematics 16 3 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84901661166&partnerID=MN8TOARS.
    10.1142/S0219199713500363
  18. Amorim, P.; Dias, J.P.. "A nonlinear model describing a short wave-long wave interaction in a viscoelastic medium". Quarterly of Applied Mathematics 71 3 (2013): 417-432. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884935936&partnerID=MN8TOARS.
    10.1090/S0033-569X-2012-01298-4
  19. Amorim, P.; Dias, J.-P.; Figueira, M.; LeFloch, P.G.. "The Linear Stability of Shock Waves for the Nonlinear Schrödinger-Inviscid Burgers System". Journal of Dynamics and Differential Equations 25 1 (2013): 49-69. http://www.scopus.com/inward/record.url?eid=2-s2.0-84874571924&partnerID=MN8TOARS.
    10.1007/s10884-012-9283-0
  20. Dias, J.-P.; Figueira, M.; Oliveira, F.. "On the Cauchy Problem describing an electron-phonon interaction". Chinese Annals of Mathematics. Series B 32 4 (2011): 483-496. http://www.scopus.com/inward/record.url?eid=2-s2.0-79960025043&partnerID=MN8TOARS.
    10.1007/s11401-011-0663-2
  21. Antontsev, S.; Dias, J.P.; Figueira, M.; Oliveira, F.. "Non-existence of global solutions for a quasilinear Benney system". Journal of Mathematical Fluid Mechanics 13 2 (2011): 213-222. http://www.scopus.com/inward/record.url?eid=2-s2.0-79958800993&partnerID=MN8TOARS.
    10.1007/s00021-009-0014-1
  22. Dias, J.P.; Figueira, M.; Frid, H.. "Vanishing viscosity with short wave-long wave interactions for multi-D scalar conservation laws". Journal of Differential Equations 251 3 (2011): 492-503. http://www.scopus.com/inward/record.url?eid=2-s2.0-79956259156&partnerID=MN8TOARS.
    10.1016/j.jde.2011.05.007
  23. Antontsev, S.; Dias, J.P.; Figueira, M.; Oliveira, F.. "Erratum: Non-existence of global solutions for a quasilinear benney system (Journal of Mathematical Fluid Mechanics DOI: 10.1007/s00021-009-0014-1)". Journal of Mathematical Fluid Mechanics 13 2 (2011): http://www.scopus.com/inward/record.url?eid=2-s2.0-79958837481&partnerID=MN8TOARS.
    10.1007/s00021-009-0021-2
  24. Dias, J.P.; Frid, H.. "Short wave-long wave interactions for compressible navier-stokes equations*". SIAM Journal on Mathematical Analysis 43 2 (2011): 764-787. http://www.scopus.com/inward/record.url?eid=2-s2.0-79957457399&partnerID=MN8TOARS.
    10.1137/100806746
  25. Dias, J.-P.; Figueira, M.; Oliveira, F.. "Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system". Nonlinear Analysis, Theory, Methods and Applications 73 8 (2010): 2686-2698. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955469879&partnerID=MN8TOARS.
    10.1016/j.na.2010.06.049
  26. Dias, J.-P.; Figueira, M.; Oliveira, F.. "Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity,Existence d'ondes solitaires pour le système couplé de Schrödinger-KdV avec non linearité cubique.". Comptes Rendus Mathematique 348 19-20 (2010): 1079-1082. http://www.scopus.com/inward/record.url?eid=2-s2.0-77958484584&partnerID=MN8TOARS.
    10.1016/j.crma.2010.09.018
  27. Dias, J.P.; Figueira, M.; Frid, H.. "Vanishing viscosity with short wave-long wave interactions for systems of conservation laws". Archive for Rational Mechanics and Analysis 196 3 (2010): 981-1010. http://www.scopus.com/inward/record.url?eid=2-s2.0-77952009093&partnerID=MN8TOARS.
    10.1007/s00205-009-0273-2
  28. Dias, J.-P.; Figueira, M.; Oliveira, F.. "Existence of local strong solutions for a quasilinear Benney system". Comptes Rendus Mathematique 344 8 (2007): 493-496. http://www.scopus.com/inward/record.url?eid=2-s2.0-34247379907&partnerID=MN8TOARS.
    10.1016/j.crma.2007.03.005
  29. Dias, J.-P.; Figueira, M.. "Existence of weak solutions for a quasilinear version of Benney equations". Journal of Hyperbolic Differential Equations 4 3 (2007): 555-563. http://www.scopus.com/inward/record.url?eid=2-s2.0-34447254593&partnerID=MN8TOARS.
    10.1142/S0219891607001252
  30. Dias, J.-P.; Figueira, M.. "On the viscous Cauchy problem and the existence of shock profiles for a p-system with a discontinuous stress function". Quarterly of Applied Mathematics 63 2 (2005): 335-341. http://www.scopus.com/inward/record.url?eid=2-s2.0-23044471792&partnerID=MN8TOARS.
  31. Dias, J.-P.; Frid, H.. "Radially symmetric weak solutions for a quasilinear wave equation in two space dimensions". Journal of Differential Equations 219 2 (2005): 306-322. http://www.scopus.com/inward/record.url?eid=2-s2.0-28244466937&partnerID=MN8TOARS.
    10.1016/j.jde.2005.02.004
  32. Dias, J.-P.; Figueira, M.. "On the approximation of the solutions of the Riemann problem for a discontinuous conservation law". Bulletin of the Brazilian Mathematical Society 36 1 (2005): 115-125. http://www.scopus.com/inward/record.url?eid=2-s2.0-18244383502&partnerID=MN8TOARS.
    10.1007/s00574-005-0031-5
  33. Dias, J.-P.; Figueira, M.; Rodrigues, J.-F.. "Solutions to a scalar discontinuous conservation law in a limit case of phase transitions". Journal of Mathematical Fluid Mechanics 7 2 (2005): 153-163. http://www.scopus.com/inward/record.url?eid=2-s2.0-18244398795&partnerID=MN8TOARS.
    10.1007/s00021-004-0113-y
  34. Dias, J.-P.; Figueira, M.. "On the Riemann problem for some discontinuous systems of conservation laws describing phase transitions". Communications on Pure and Applied Analysis 3 1 (2004): 53-58. http://www.scopus.com/inward/record.url?eid=2-s2.0-18244362942&partnerID=MN8TOARS.
  35. Dias, J.P.; Figueira, M.. "On the uniqueness of the weak solutions of a quasilinear hyperbolic system with a singular source term". Chinese Annals of Mathematics. Series B 23 3 (2002): 317-324. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036035985&partnerID=MN8TOARS.
    10.1142/S0252959902000298
  36. Dias, J.-P.; LeFloch, P.G.. "Some existence results for conservation laws with source-term". Mathematical Methods in the Applied Sciences 25 13 (2002): 1149-1160. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037056060&partnerID=MN8TOARS.
    10.1002/mma.332
  37. Dias, J.-P.; Figueira, M.. "A remark on the existence of global BV solutions for a nonlinear hyperbolic wave equation". Quarterly of Applied Mathematics 60 2 (2002): 245-250. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036608279&partnerID=MN8TOARS.
  38. Dias, J.-P.; Figueira, M.. "Local existence in Cb 0,1 and blow-up of the solutions of the Cauchy Problem for a quasilinear hyperbolic system with a singular source term". Bulletin of the Brazilian Mathematical Society 32 3 (2001): 343-357. http://www.scopus.com/inward/record.url?eid=2-s2.0-27144464890&partnerID=MN8TOARS.
  39. Dias, J.-P.. "On the existence of a global strong radial symmetric solution for a third-order nonlinear evolution equation in two space dimensions". Journal des Mathematiques Pures et Appliquees 80 5 (2001): 535-546. http://www.scopus.com/inward/record.url?eid=2-s2.0-0041833495&partnerID=MN8TOARS.
    10.1016/S0021-7824(00)01203-4
  40. Dias, J.-P.; Figueira, M.. "Blow-up and Global Existence of a Weak Solution for a sine-Gordon Type Quasilinear Wave Equation". Bollettino della Unione Matematica Italiana B 3 3 (2000): 739-750. http://www.scopus.com/inward/record.url?eid=2-s2.0-0041684430&partnerID=MN8TOARS.
  41. Dias, J.-P.; Figueira, M.; Sanchez, L.. "On the existence of shock fronts for a burgers equation with a singular source term". Mathematical Methods in the Applied Sciences 21 12 (1998): 1107-1113. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032138486&partnerID=MN8TOARS.
  42. Dias, J.-P.; Figueira, M.. "On the blow-up of the solutions of a quasilinear wave equation with a semilinear source term". Mathematical Methods in the Applied Sciences 19 14 (1996): 1135-1140. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030246563&partnerID=MN8TOARS.
  43. Dias, JP; Figueira, M. "Existence of a weak solution for a quasilinear wave equation with a semilinear source term". Comptes Rendus De L Academie Des Sciences Serie I-Mathematique 322 7 (1996): 619-624. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1996UH34700004&KeyUID=WOS:A1996UH34700004.
  44. DIAS, JP; FIGUEIRA, M; RAUCH, J. "SCATTERING FOR A ONE-SIDED KLEIN-GORDON EQUATION IN QUANTUM-GRAVITY". Annales De L Institut Henri Poincare-Physique Theorique 61 1 (1994): 75-86. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1994PU51100004&KeyUID=WOS:A1994PU51100004.
  45. BERESTYCKI, H; DIAS, JP; ESTEBAN, MJ; FIGUEIRA, M. "EIGENVALUE PROBLEMS FOR SOME NONLINEAR WHEELER-DEWITT OPERATORS". Journal De Mathematiques Pures Et Appliquees 72 5 (1993): 493-515. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1993MA46200004&KeyUID=WOS:A1993MA46200004.
  46. Dias, J.-P.; Figueira, M.. "The Cauchy problem for a nonlinear Wheeler-DeWitt equation". Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire 10 1 (1993): 99-107. http://www.scopus.com/inward/record.url?eid=2-s2.0-85013025544&partnerID=MN8TOARS.
    10.1016/S0294-1449(16)30223-2
  47. DIAS, JP; POVOAS, M. "A VARIANT OF THE EULER-POISSON-DARBOUX EQUATION ARISING IN QUANTUM-GRAVITY". Comptes Rendus De L Academie Des Sciences Serie I-Mathematique 315 2 (1992): 169-173. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1992JG21000012&KeyUID=WOS:A1992JG21000012.
  48. DIAS, JP; FIGUEIRA, M. "ON THE EXISTENCE OF A GLOBAL SOLUTION OF THE CAUCHY-PROBLEM FOR A KLEIN-GORDON-DIRAC SYSTEM". Journal De Mathematiques Pures Et Appliquees 70 1 (1991): 75-85. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1991EW07800002&KeyUID=WOS:A1991EW07800002.
  49. DIAS, JP; FIGUEIRA, M. "THE SIMPLIFIED WHEELER-DEWITT EQUATION - THE CAUCHY-PROBLEM AND SOME SPECTRAL PROPERTIES". Annales De L Institut Henri Poincare-Physique Theorique 54 1 (1991): 17-26. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1991FG27000003&KeyUID=WOS:A1991FG27000003.
  50. DIAS, JP; FIGUEIRA, M. "NONEXISTENCE OF BOUND-STATES FOR A NONLINEAR DIRAC-EQUATION". Houston Journal of Mathematics 16 1 (1990): 53-58. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1990EB77800004&KeyUID=WOS:A1990EB77800004.
  51. Dias, J.-P.; Figueira, M.. "On the existence of weak solutions for a nonlinear time dependent Dirac equation". Proceedings of the Royal Society of Edinburgh: Section A Mathematics 113 1-2 (1989): 149-158. http://www.scopus.com/inward/record.url?eid=2-s2.0-84971157148&partnerID=MN8TOARS.
    10.1017/S030821050002401X
  52. DIAS, JP; FIGUEIRA, M. "ON THE EXISTENCE OF A GLOBAL SOLUTION FOR A NONLINEAR DIRAC-EQUATION WITH ZERO MASS". Comptes Rendus De L Academie Des Sciences Serie I-Mathematique 305 11 (1987): 469-472. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1987K434600007&KeyUID=WOS:A1987K434600007.
  53. DIAS, JP; FIGUEIRA, M. "GLOBAL EXISTENCE OF SOLUTIONS WITH SMALL INITIAL DATA IN HS FOR THE MASSIVE NONLINEAR DIRAC EQUATIONS IN 3 SPACE DIMENSIONS". Bollettino Della Unione Matematica Italiana 1B 3 (1987): 861-874. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1987K361800017&KeyUID=WOS:A1987K361800017.
  54. DIAS, JP; FIGUEIRA, M. "DECAY OF SOME SOLUTIONS WITH POSITIVE ENERGY OF THE SCHRODINGER-HARTREE EQUATION". Comptes Rendus De L Academie Des Sciences Serie I-Mathematique 296 9 (1983): 381-384. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1983QP70100003&KeyUID=WOS:A1983QP70100003.
  55. Dias, J.-P.; Figueira, M.. "Conservation laws and time decay for the solutions of some nonlinear Schrödinger-Hartree equations and systems". Journal of Mathematical Analysis and Applications 84 2 (1981): 486-508. http://www.scopus.com/inward/record.url?eid=2-s2.0-0040116540&partnerID=MN8TOARS.
    10.1016/0022-247X(81)90182-7
  56. Dias, J.-P.; Haraux, A.. "Smoothing effect and asymptotic behaviour for the solutions of a nonlinear time dependent system". Proceedings of the Royal Society of Edinburgh: Section A Mathematics 87 3-4 (1981): 289-303. http://www.scopus.com/inward/record.url?eid=2-s2.0-84971149801&partnerID=MN8TOARS.
    10.1017/S0308210500015225
  57. Cioranescu, D.; Dias, J.-P.. "A time dependent coupled system related to the tridimensional equations of a nematic liquid crystal". Journal of Mathematical Analysis and Applications 73 1 (1980): 252-266. http://www.scopus.com/inward/record.url?eid=2-s2.0-49149144406&partnerID=MN8TOARS.
    10.1016/0022-247X(80)90031-1
  58. Dias, J.-P.. "On the existence of a strong solution for a nonlinear evolution system". Nonlinear Analysis 4 1 (1980): 139-144. http://www.scopus.com/inward/record.url?eid=2-s2.0-49149145874&partnerID=MN8TOARS.
    10.1016/0362-546X(80)90043-7
  59. DIAS, JP; FIGUEIRA, M. "DECAY AT INFINITY OF THE SOLUTION OF A NON-LINEAR EQUATION OF SCHRODINGER-HARTREE TYPE". Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie a 290 19 (1980): 889-892. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1980JY02600008&KeyUID=WOS:A1980JY02600008.
  60. Dias, J.-P.. "A simplified variational model for the bidimensional coupled evolution equations of a nematic liquid crystal". Journal of Mathematical Analysis and Applications 67 2 (1979): 525-541. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018433006&partnerID=MN8TOARS.
    10.1016/0022-247X(79)90041-6
  61. DIAS, JP. "2-DIMENSIONAL COUPLED EQUATIONS OF AN INCOMPRESSIBLE NEMATIC LIQUID-CRYSTAL". Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie a 285 2 (1977): 77-80. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1977DQ17600011&KeyUID=WOS:A1977DQ17600011.
  62. DIAS, JP. "EVOLUTION EQUATIONS OF AN INCOMPRESSIBLE NEMATIC SUBMITTED TO A HOMOGENEOUS MAGNETIC-FIELD". Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie a 282 1 (1976): 71-74. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1976BG49700020&KeyUID=WOS:A1976BG49700020.
  63. DIAS, JP; HERNANDEZ, J. "REMARK ON A PAPER BY TOLAND,J.F. AND SOME APPLICATIONS TO UNILATERAL PROBLEMS". Proceedings of the Royal Society of Edinburgh Section a-Mathematics 75 (1976): 179-182. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1976EJ03800001&KeyUID=WOS:A1976EJ03800001.
  64. Dias, Joao Paulo. "System of Equations in Relation to the Two-Dimensional Evolution Equations of a Nematic Liquid Crystal.,UN SYSTEME D'EQUATIONS EN RAPPORT AVEC LES EQUATIONS D'EVOLUTION BIDIMENSIONNELLES D'UN CRISTAL LIQUIDE NEMATIQUE.". J Mec 15 4 (1976): 697-709. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017218479&partnerID=MN8TOARS.
  65. DIAS, JP; HERNANDEZ, J. "BIFURCATION FROM INFINITY AND FREDHOLM ALTERNATIVE FOR CERTAIN UNILATERAL PROBLEMS". Journal De Mathematiques Pures Et Appliquees 55 2 (1976): 189-206. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1976CA13800003&KeyUID=WOS:A1976CA13800003.
  66. DIAS, JP. "VARIATIONAL INEQUALITIES AND EIGENVALUE PROBLEMS FOR NONLINEAR MAXIMAL MONOTONE OPERATORS IN A HILBERT-SPACE". American Journal of Mathematics 97 4 (1975): 905-914. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1975BE65400005&KeyUID=WOS:A1975BE65400005.
    10.2307/2373680
  67. Dias, J.-P.; Hernandez, J.. "A sturm-liouville theorem for some odd multivalued maps". Proceedings of the American Mathematical Society 53 1 (1975): 72-74. http://www.scopus.com/inward/record.url?eid=2-s2.0-84902960893&partnerID=MN8TOARS.
    10.1090/S0002-9939-1975-0377632-8
  68. ABEASIS, AF; DIAS, JP; LOPESPIN.A. "SUBDIFFERENTIAL EIGEN-VALUES OF CONVEX FUNCTION WITH NONBOUNDED NUCLEUS". Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie a 278 18 (1974): 1197-1199. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1974T005900012&KeyUID=WOS:A1974T005900012.
  69. Dias, J.-P.. "Un théorème de Sturm-Liouville pour une classe d'opérateurs non linéaires maximaux monotones". Journal of Mathematical Analysis and Applications 47 2 (1974): 400-405. http://www.scopus.com/inward/record.url?eid=2-s2.0-49349138075&partnerID=MN8TOARS.
    10.1016/0022-247X(74)90027-4
  70. BEIRAODA.H; DIAS, JP. "EXISTENCE AND REGULARITY OF WEAK SOLUTIONS OF NONLINEAR PARABOLIC INEQUALITY". Journal Fur Die Reine Und Angewandte Mathematik 260 (1973): 181-199. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1973P886700014&KeyUID=WOS:A1973P886700014.
  71. Dias, J.-P.. "RégularitéL8 pour la solution d'une équation parabolique non linéaire dégénérée". Journal of Mathematical Analysis and Applications 44 3 (1973): 612-619. http://www.scopus.com/inward/record.url?eid=2-s2.0-49549170026&partnerID=MN8TOARS.
    10.1016/0022-247X(73)90004-8
  72. Dias, J.-P.. "Estimations dans L8 pour une classe de perturbations singulières". Journal of Mathematical Analysis and Applications 41 1 (1973): 34-43. http://www.scopus.com/inward/record.url?eid=2-s2.0-49549162884&partnerID=MN8TOARS.
    10.1016/0022-247X(73)90179-0
  73. Dias, J.-P.. "The solutions of a variational inequality as critical points of a real valued smooth function". Journal of Functional Analysis 13 1 (1973): 73-76. http://www.scopus.com/inward/record.url?eid=2-s2.0-49549166992&partnerID=MN8TOARS.
    10.1016/0022-1236(73)90067-0
  74. Beirão-da-Veiga, H.; Dias, J.-P.. "Sur l'existence et la régularité des solutions faibles d'une inéquation parabolique non linéaire". Journal fur die Reine und Angewandte Mathematik 1973 260 (1973): 181-199. http://www.scopus.com/inward/record.url?eid=2-s2.0-84910206092&partnerID=MN8TOARS.
    10.1515/crll.1973.260.181
  75. DERRIDJ, M; DIAS, JP. "DIRICHLET PROBLEM FOR CLASS OF NONLINEAR OPERATORS". Journal De Mathematiques Pures Et Appliquees 51 2 (1972): 219-&. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1972M547500003&KeyUID=WOS:A1972M547500003.
  76. BEIRAODA.H; DIAS, JP. "CONTINUITY OF SOLUTIONS TO PARABOLIC INEQUALITY". Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie a 274 2 (1972): 192-&. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1972L497300019&KeyUID=WOS:A1972L497300019.
  77. BEIRAODA.H; DIAS, JP. "REGULARITY OF SOLUTIONS TO NONLINEAR PARABOLIC EQUATION WITH INULATERAL BOUNDARY CONSTRAINTS". Annales De L Institut Fourier 22 4 (1972): 161-192. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1972O802900006&KeyUID=WOS:A1972O802900006.
  78. DIAS, JP. "REDUCTION ON BOUNDARY OF SOLUTION TO EQUATION CONNECTED WITH SIGNORINI PROBLEM". Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie a 274 26 (1972): 1909-&. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1972M903300015&KeyUID=WOS:A1972M903300015.
  79. Dias, J.-P.. "Une classe de problèmes variationnels non linéaires de type elliptique ou parabolique". Annali di Matematica Pura ed Applicata, Series 4 92 1 (1972): 263-322. http://www.scopus.com/inward/record.url?eid=2-s2.0-25444476299&partnerID=MN8TOARS.
    10.1007/BF02417950
  80. DIAS, JP. "HOLDERIAN AND L REGULARITY FOR A CLASS OF ELLIPTICAL TYPE NON-LINEAR INEQUALITIES". Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie a 271 16 (1970): 784-&. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1970YY98700011&KeyUID=WOS:A1970YY98700011.
  81. Dias, J.-P.; Sibony, M.. "Méthodes d'approximation pour certains problèmes non linéaires non homogènes". Journal of Differential Equations 9 1 (1970): 182-204. http://www.scopus.com/inward/record.url?eid=2-s2.0-49849117318&partnerID=MN8TOARS.
    10.1016/0022-0396(70)90162-2
  82. DIAS, JP. "L(INFINITY) REGULARITY FOR A CLASS OF NONLINEAR ELLIPTICAL-TYPE EQUATIONS AND INEQUATIONS". Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie a 269 1 (1969): 14-&. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1969YZ03100006&KeyUID=WOS:A1969YZ03100006.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
1997 - 2000/01 Some aspects of scattering for short range potentials
Co-supervisor
Universidade de Lisboa Faculdade de Ciências, Portugal
1979 - 1982 Alguns problemas de fronteira livre em mecânica do contínuo
Co-supervisor of José Francisco Rodrigues
Universidade de Lisboa Faculdade de Ciências, Portugal
1977 - 1981/05 Soluções periódicas de certas equações diferenciais não lineares
Co-supervisor of Luis Sanchez Rodrigues
Universidade de Lisboa Faculdade de Ciências, Portugal
Distinctions

Award

1988 Prémio Gulbenkian de Ciência Tecnologia com o Prof. Mário Figueira (e ex-aequo com o Prof. Fernando Conceição Silva)
Fundação Calouste Gulbenkian, Portugal
1973 Prémio Artur Malheiros (Ciências Matemáticas) com o Prof. Hugo Beirão da Veiga.
Academia das Ciências de Lisboa, Portugal

Title

2016 Professor Emérito da Universidade de Lisboa
Universidade de Lisboa, Portugal
2000 Grande Oficial da Ordem de Santiago da Espada
Presidência da República Portuguesa, Portugal