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Jean Baptiste Casteras. Completed the Docteur in Doctorat in 2012/11/23 by Université de Bretagne Occidentale. Is Postdoc in Université Libre Bruxelles Faculté des Sciences. Published 26 articles in journals. Has 1 book(s). Organized 4 event(s). In their professional activities interacted with 29 collaborator(s) co-authorship of scientific papers.
Identification

Personal identification

Full name
Jean Baptiste Casteras

Citation names

  • Casteras, Jean-Baptiste

Author identifiers

Ciência ID
F31E-049B-181A
ORCID iD
0000-0002-6773-6560
Education
Degree Classification
2009/09/01 - 2012/11/23
Concluded
 Doctorat (Docteur)
Université de Bretagne Occidentale, France
"An evolution problem associated to the mean field equation" (THESIS/DISSERTATION)
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2025/01/01 - Current Assistant Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Faculdade de Ciências, Portugal

Positions / Appointments

Category
Host institution 		Employer
2015/02/01 - 2019/08/31 Postdoc Université Libre Bruxelles Faculté des Sciences, Belgium
2013/03/01 - 2015/01/31 Postdoc Universidade Federal do Rio Grande do Sul, Brazil
2012/09/01 - 2013/02/27 teaching assistant Université de Bretagne Occidentale, France
2009/09/01 - 2012/08/31 PhD student Université de Bretagne Occidentale, France

Others

Category
Host institution 		Employer
2020/09/01 - 2024/12/31 Postdoc Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Faculdade de Ciências, Portugal
2019/09/01 - 2020/08/31 Postdoc Helsingin yliopisto - Kumpulan kampus, Finland
Helsingin yliopisto, Finland
Projects

Grant

Designation Funders
2000/03 - Current HIPERSUPERFÍCIES MÍNIMAS E CMC
240970
 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
2016/10 - 2019/09 Fourth order PDEs, Keller-Segel model and asymptotic Plateau problems
1221917F
 Fonds de la Recherche Scientific
Outputs

Publications

Book
  1. Casteras, J.-B.; Ripoll, J.B.; Casteras, Jean-Baptiste; Ripoll, Jaime B.. On asymptotic plateau's problem for cmc hypersurfaces on rank 1 symmetric spaces of noncompact type. 2016.
    10.4310/AJM.2016.v20.n4.a5
Journal article
  1. Casteras, J.-B.; Monsaingeon, L.. "Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity". Stochastics and Partial Differential Equations: Analysis and Computations (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85147509106&partnerID=MN8TOARS.
    10.1007/s40072-023-00287-9
  2. Casteras, J.-B.; Heinonen, E.; Holopainen, I.; De Lira, J.H.. "Translating Solitons Over Cartan–Hadamard Manifolds". Journal of Geometric Analysis 33 5 (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85149383628&partnerID=MN8TOARS.
    10.1007/s12220-023-01218-9
  3. Casteras, J.-B.; Heinonen, E.; Holopainen, I.; De Lira, J.H.. "Non-Parametric Mean Curvature Flow with Prescribed Contact Angle in Riemannian Products". Analysis and Geometry in Metric Spaces 10 1 (2022): 31-39. http://www.scopus.com/inward/record.url?eid=2-s2.0-85127133866&partnerID=MN8TOARS.
    10.1515/agms-2020-0132
  4. Casteras, J.-B.; Holopainen, I.. "Fourth Order Schrödinger Equation with Mixed Dispersion on Certain Cartan-Hadamard Manifolds". Journal of Dynamics and Differential Equations (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85136817760&partnerID=MN8TOARS.
    10.1007/s10884-022-10197-4
  5. Denis Bonheure; Jean-Baptiste Casteras; Francesca Gladiali. "Bifurcation analysis of the Hardy-Sobolev equation". Journal of Differential Equations (2021): https://doi.org/10.1016/j.jde.2021.06.012.
    10.1016/j.jde.2021.06.012
  6. Bonheure, D.; Casteras, J.-B.; Román, C.. "Unbounded mass radial solutions for the Keller–Segel equation in the disk". Calculus of Variations and Partial Differential Equations 60 5 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85112406210&partnerID=MN8TOARS.
    10.1007/s00526-021-02081-8
  7. Casteras, J.-B.; Mandel, R.. "On Helmholtz Equations and Counterexamples to Strichartz Estimates in Hyperbolic Space". International Mathematics Research Notices 2021 7 (2021): 4838-4863. http://www.scopus.com/inward/record.url?eid=2-s2.0-85110464236&partnerID=MN8TOARS.
    10.1093/imrn/rnz389
  8. Bonheure, D.; Casteras, J.-B.; Foldes, J.. "Singular radial solutions for the Keller-Segel equation in high dimension". Journal des Mathematiques Pures et Appliquees 134 (2020): 204-254. http://www.scopus.com/inward/record.url?eid=2-s2.0-85077160115&partnerID=MN8TOARS.
    10.1016/j.matpur.2019.12.002
  9. Bonorino, L.; Casteras, J.-B.; Klaser, P.; Ripoll, J.; Telichevesky, M.. "On the asymptotic Dirichlet problem for a class of mean curvature type partial differential equations". Calculus of Variations and Partial Differential Equations 59 4 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85088169146&partnerID=MN8TOARS.
    10.1007/s00526-020-01795-5
  10. Casteras, J.-B.; Földes, J.. "Singular radial solutions for the Lin–Ni–Takagi equation". Calculus of Variations and Partial Differential Equations 59 5 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85090917813&partnerID=MN8TOARS.
    10.1007/s00526-020-01824-3
  11. Casteras, J.-B.; Sourdis, C.; Casteras, Jean-Baptiste; Sourdis, Christos. "Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter". Journal of Functional Analysis 279 8 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85086105790&partnerID=MN8TOARS.
    10.1016/j.jfa.2020.108674
  12. Casteras, J.-B.; Heinonen, E.; Holopainen, I.; Lira, J.. "Asymptotic Dirichlet problems in warped products". Mathematische Zeitschrift 295 1-2 (2020): 211-248. http://www.scopus.com/inward/record.url?eid=2-s2.0-85068230924&partnerID=MN8TOARS.
    10.1007/s00209-019-02346-1
  13. Casteras, J.-B.; Holopainen, I.; Ripoll, J.B.. "Asymptotic plateau problem for prescribed mean curvature hypersurfaces". Proceedings of the American Mathematical Society 148 4 (2020): 1731-1743. http://www.scopus.com/inward/record.url?eid=2-s2.0-85080936722&partnerID=MN8TOARS.
    10.1090/proc/14829
  14. Casteras, Jean-Baptiste; Mandel, R.. "On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space". Preprint arXiv:1902.04351 (2019):
  15. Casteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka. "Existence and non-existence of minimal graphic and p-harmonic functions". Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2019): 1-26. http://dx.doi.org/10.1017/prm.2018.134.
    10.1017/prm.2018.134
  16. Casteras, Jean-Baptiste; Bonheure, Denis; Jeanjean, Louis; Gou, Tianxiang. "Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime". Transactions of the American Mathematical Society (2019):
    Accepted
  17. Bonheure, D.; Casteras, J.-B.; Gou, T.; Jeanjean, L.. "Normalized solutions to the mixed dispersion nonlinear schrÖdinger equation in the mass critical and supercritical regime". Transactions of the American Mathematical Society 372 3 (2019): 2167-2212. http://www.scopus.com/inward/record.url?eid=2-s2.0-85071172101&partnerID=MN8TOARS.
    10.1090/tran/7769
  18. Casteras, J.-B.; Heinonen, E.; Holopainen, I.. "Dirichlet problem for f-minimal graphs". Journal d'Analyse Mathematique 138 2 (2019): 917-950. http://www.scopus.com/inward/record.url?eid=2-s2.0-85069672129&partnerID=MN8TOARS.
    10.1007/s11854-019-0051-5
  19. Casteras, J.-B.; Holopainen, I.; Ripoll, J.B.. "Asymptotic dirichlet problem for A-harmonic and minimal graph equations in Cartan-Hadamard manifolds". Communications in Analysis and Geometry 27 4 (2019): 809-855. http://www.scopus.com/inward/record.url?eid=2-s2.0-85076101950&partnerID=MN8TOARS.
    10.4310/CAG.2019.v27.n4.a3
  20. Casteras, Jean-Baptiste; Bonorino, Leonardo; Ripoll, Jaime B.; Klaser, Patricia; Telichevesky, Miriam. "On the asymptotic Dirichlet problem for a class of prescribed mean curvature type PDE’s in the hyperbolic space". arXiv :1811.09867 (2018):
    Submitted
  21. Casteras, Jean-Baptiste; Bonheure, Denis; Földes, Juraj. "Singular radial solutions to the Keller-Segel equation on the ball in high dimension". arXiv:1808.06990 (2018):
    Submitted
  22. Casteras, Jean-Baptiste; Holopainen, Ilkka; Heinonen, Esko; Lira, Jorge. "Asymptotic Dirichlet problems in warped products". arXiv:1801.04210 (2018):
    Submitted
  23. Bonheure, Denis; Casteras, Jean-Baptiste; dos Santos, Ederson Moreira; Nascimento, Robson. "Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation". SIAM Journal on Mathematical Analysis 50 5 (2018): 5027-5071. http://dx.doi.org/10.1137/17m1154138.
    10.1137/17m1154138
  24. Bonheure, D.; Casteras, J.-B.; Mandel, R.. "On a fourth-order nonlinear Helmholtz equation". Journal of the London Mathematical Society (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85057561357&partnerID=MN8TOARS.
    10.1112/jlms.12196
  25. Bonheure, D.; Casteras, J.-B.; Dos Santos, E.M.; Nascimento, R.. "Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation". SIAM Journal on Mathematical Analysis 50 5 (2018): 5027-5071. http://www.scopus.com/inward/record.url?eid=2-s2.0-85055839696&partnerID=MN8TOARS.
    10.1137/17M1154138
  26. Casteras, Jean-Baptiste; Holopainen, Ilkka; Ripoll, Jaime B.. "Convexity at infinity in Cartan–Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems". Mathematische Zeitschrift 290 1-2 (2017): 221-250. http://dx.doi.org/10.1007/s00209-017-2016-7.
    10.1007/s00209-017-2016-7
  27. Denis Bonheure; Jean-Baptiste Castéras; Tianxiang Gou; Louis Jeanjean. "Strong Instability of Ground States to a Fourth Order Schrödinger Equation". International Mathematics Research Notices (2017): https://doi.org/10.1093%2Fimrn%2Frnx273.
    10.1093/imrn/rnx273
  28. Casteras, Jean-Baptiste; Bonheure, Denis; Roman, Carlos. "Unbounded mass radial solutions for the Keller-Segel equation in the disk". (2017):
    Submitted
  29. Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta. "Multiple positive solutions of the stationary Keller–Segel system". Calculus of Variations and Partial Differential Equations 56 3 (2017): http://dx.doi.org/10.1007/s00526-017-1163-3.
    10.1007/s00526-017-1163-3
  30. Casteras, Jean-Baptiste; Holopainen, Ilkka; Ripoll, Jaime B.. "On the Asymptotic Dirichlet Problem for the Minimal Hypersurface Equation in a Hadamard Manifold". Potential Analysis 47 4 (2017): 485-501. http://dx.doi.org/10.1007/s11118-017-9624-z.
    10.1007/s11118-017-9624-z
  31. Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta. "Layered solutions with unbounded mass for the Keller–Segel equation". Journal of Fixed Point Theory and Applications 19 1 (2016): 529-558. http://dx.doi.org/10.1007/s11784-016-0364-2.
    10.1007/s11784-016-0364-2
  32. Casteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka. "Solvability of Minimal Graph Equation Under Pointwise Pinching Condition for Sectional Curvatures". The Journal of Geometric Analysis 27 2 (2016): 1106-1130. http://dx.doi.org/10.1007/s12220-016-9712-0.
    10.1007/s12220-016-9712-0
  33. Casteras, Jean-Baptiste; Casteras, J.-B.. "Renormalized solutions to a fourth order NLS in the mass subcritical regime". Rend. Semin. Mat. Univ. Politec. Torino 74 3-4 (2016): 95-104. http://www.scopus.com/inward/record.url?eid=2-s2.0-85043593488&partnerID=MN8TOARS.
  34. Bakri, Laurent; Casteras, Jean-Baptiste. "Some non-stability results for geometric Paneitz–Branson type equations". Nonlinearity 28 9 (2015): 3337-3363. http://dx.doi.org/10.1088/0951-7715/28/9/3337.
    10.1088/0951-7715/28/9/3337
  35. Castéras, Jean-Baptiste. "A mean field type flow, II: Existence and convergence". Pacific Journal of Mathematics 276 2 (2015): 321-345. http://dx.doi.org/10.2140/pjm.2015.276.321.
    10.2140/pjm.2015.276.321
  36. Bakri, Laurent; Casteras, Jean-Baptiste. "Non-stability of Paneitz–Branson type equations in arbitrary dimensions". Nonlinear Analysis: Theory, Methods & Applications 107 (2014): 118-133. http://dx.doi.org/10.1016/j.na.2014.05.006.
    10.1016/j.na.2014.05.006
  37. Castéras, Jean-Baptiste. "A mean field type flow part I: compactness of solutions to a perturbed mean field type equation". Calculus of Variations and Partial Differential Equations 53 1-2 (2014): 221-246. http://dx.doi.org/10.1007/s00526-014-0746-5.
    10.1007/s00526-014-0746-5
  38. Castéras, Jean-baptiste. "Equivariant mean field flow". Journal of Geometry and Physics 74 (2013): 314-327. http://dx.doi.org/10.1016/j.geomphys.2013.08.011.
    10.1016/j.geomphys.2013.08.011
  39. Bakri, Laurent; Casteras, Jean-Baptiste. "Quantitative uniqueness for Schrödinger operator with regular potentials". Mathematical Methods in the Applied Sciences 37 13 (2013): 1992-2008. http://dx.doi.org/10.1002/mma.2951.
    10.1002/mma.2951

Other

Other output
  1. HIGHER ORDER EXPANSION FOR THE PROBABILISTIC LOCAL WELL-POSEDNESS THEORY FOR A CUBIC NONLINEAR SCHRÖDINGER EQUATION. 2024. Casteras, J.-B.; Földes, J.; Uraltsev, G.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85183374423&partnerID=MN8TOARS.
    10.48550/arXiv.2401.08872
  2. Sticky-reflecting diffusion as a Wasserstein gradient flow. 2024. Casteras, J.-B.; Monsaingeon, L.; Santambrogio, F.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85184438759&partnerID=MN8TOARS.
    10.48550/arXiv.2401.16842
  3. Trivariate distribution of sticky Brownian motion. 2023. Casteras, J.-B.; Monsaingeon, L.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85167702344&partnerID=MN8TOARS.
  4. ON THE EXISTENCE AND PARTIAL STABILITY OF STANDING WAVES FOR A NEMATIC LIQUID CRYSTAL DIRECTOR FIELD EQUATIONS. 2023. Amorim, P.; Casteras, J.-B.; Dias, J.-P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85180296325&partnerID=MN8TOARS.
    10.48550/arXiv.2312.09035
  5. CONSTRUCTION OF A TWO BUBBLES BLOWING-UP SOLUTION FOR THE FOURTH ORDER ENERGY CRITICAL NONLINEAR SCHRÖDINGER EQUATION. 2023. Casteras, J.-B.; Holopainen, I.; Monsaingeon, L.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85160952783&partnerID=MN8TOARS.
    10.48550/arXiv.2304.14744
  6. ALMOST SURE LOCAL WELL-POSEDNESS for CUBIC NONLINEAR SCHRÖDINGER EQUATION with HIGHER ORDER OPERATORS. 2022. Casteras, J.-B.; Földes, J.; Uraltsev, G.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85126659026&partnerID=MN8TOARS.
  7. Hidden dissipation and convexity for Kimura equations. 2022. Casteras, J.-B.; Monsaingeon, L.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85140200412&partnerID=MN8TOARS.
    10.48550/arXiv.2209.15361
  8. CLASSIFICATION OF RADIAL BLOW-UP AT THE FIRST CRITICAL EXPONENT FOR THE LIN-NI-TAKAGI PROBLEM IN THE BALL. 2022. Bonheure, D.; Casteras, J.-B.; Premoselli, B.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85142876891&partnerID=MN8TOARS.
    10.48550/arXiv.2211.08962
  9. ALMOST SURE LOCAL WELL-POSEDNESS FOR CUBIC NONLINEAR SCHRÖDINGER EQUATION WITH HIGHER ORDER OPERATORS. 2022. Casteras, J.-B.; Földes, J.; Uraltsev, G.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85152566955&partnerID=MN8TOARS.
    10.48550/arXiv.2203.03500
  10. Existence of traveling waves for a fourth order Schrödinger equation with mixed dispersion in the Helmholtz regime. 2021. Casteras, J.-B.; Földes, J.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85104172905&partnerID=MN8TOARS.
  11. Existence of traveling waves for a fourth order Schrödinger equation with mixed dispersion in the Helmholtz regime. 2021. Casteras, J.-B.; Földes, J.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85170612104&partnerID=MN8TOARS.
    10.48550/arxiv.2103.11440
  12. Translating solitons over cartan-hadamard manifolds. 2020. Casteras, J.-B.; Heinonen, E.; Holopainen, I.; de Lira, J.H.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85171043076&partnerID=MN8TOARS.
    10.48550/arxiv.2007.02989
  13. Singular radial solutions for the lin-ni-takagi equation. 2020. Casteras, J.-B.; Foldes, J.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85171030757&partnerID=MN8TOARS.
    10.48550/arxiv.2002.07887
  14. On a fourth order nonlinear Helmholtz equation. 2018. Bonheure, D.; Casteras, J.-B.; Mandel, R.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85169487352&partnerID=MN8TOARS.
    10.48550/arxiv.1803.08249
  15. Unbounded mass radial solutions for the Keller-Segel equation in the disk. 2017. Bonheure, D.; Casteras, J.-B.; Román, C.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85170936513&partnerID=MN8TOARS.
    10.48550/arxiv.1709.10471
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/06 Standing wave and travelling wave solutions for a fourth order Schroedinger equation The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
2022/06 Almost sure well-posedness for a class of cubic Schrödinger type equations Three Nonlinear Days in Coimbra
2022/06 Compactness of radial solutions to the Lin­Ni­Takagi equation in the asymptotically critical regime International Conference on Nonlinear Differential Equations and Applications
2018/07/23 Stability of ground state and renormalized solutions to a fourth order Schrödinger equation ICM 2018 Satellite conference on Nonlinear Partial Differential Equations
(Brazil)
2018/06/06 Radial solutions to the Keller-Segel equation 12th bi-annual AIMS Conference on Dynamical Systems, Differential Equations and Applications
(Taipei, Taiwan)
2018/03/22 Stabilité des états fondamentaux et des solutions normalisées pour une équation de Schrödinger d’ordre quatre Jeunes EDpistes français
(Nancy, France)
2018/02/01 On a fourth order Schrödinger equation Young in PDEs @Roma
(Roma, Italy)
2017/06/22 On a fourth order Schrödinger equation Firsts days in nonlinear PDE in Hauts-de-France
(Valenciennes, France)
2017/06/02 On a fourth order Schrödinger equation PDEs-unplugged@Karlsruhe
(Karlsruhe, Germany)
2016/06/03 On a fourth order Schrödinger equation Second joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical So- cieties
(Logrono, Spain)
2015/12/03 On a mean field type flow First joint meeting Brazil-Spain in Maths
(Fortaleza, Brazil)

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2015/09/01 - Current Nonlinear analysis and PDEs seminar (2015/09/01)
Seminar (Co-organisor)
2017/12/11 - 2017/12/15 Intensive week of PDEs at Spa (2017/12/11 - 2017/12/15)
Conference (Co-organisor)
 Université Libre de Bruxelles, Belgium
2017/11/13 - 2017/11/17 First Belgium+Chile+Italy conference in PDEs (2017/11/13 - 2017/11/17)
Conference (Co-organisor)
 Université Libre de Bruxelles, Belgium
2015/09/07 - 2015/09/11 Workshop in Nonlinear PDEs (2015/09/07 - 2015/09/11)
Conference (Co-organisor)
 Université Libre de Bruxelles, Belgium

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2016/09/01 - 2018/06/01 Variational methods and PDEs maths (Master)
2009/09/01 - 2013/02/28 Various Licence courses maths (Licence)

Other jury / evaluation

Activity description Institution / Organization
2018/06/29 - Current Member of the PhD committee of Robson Nascimento
2016/01/01 - Current Reader of several master thesis