English
Sharp inequalities for solutions to elliptic problems with mixed boundary conditions
Virtualconference
Auteurs : Trombetti, Cristina (Auteur de la Conférence)
CIRM (Editeur )
35B45 - A priori estimates
35J05 - Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
35B06 - Symmetries, invariants, etc. in context of PDE
CIRM (Editeur )
Loading the player...
|
Résumé :
We show, using symmetrization techniques, that it is possible to prove a comparison principle (we are mainly focused on L1 comparison) between solutions to an elliptic partial differential equation on a smooth bounded set Ω with a rather general boundary condition, and solutions to a suitable related problem defined on a ball having the same volume as Ω. This includes for instance mixed problems.
Keywords : a priori estimates; comparison principle; mixed boundary conditions; Robin boundary conditions
Codes MSC : Keywords : a priori estimates; comparison principle; mixed boundary conditions; Robin boundary conditions
35B45 - A priori estimates
35J05 - Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
35B06 - Symmetries, invariants, etc. in context of PDE
|
Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 20/04/2021 Date de captation : 02/04/2021 Sous collection : Research talks arXiv category : Analysis of PDEs Domaine : PDE Format : MP4 (.mp4) - HD Durée : 00:44:44 Audience : Researchers Download : https://videos.cirm-math.fr/2021-04-02_Trombetti.mp4 
|
Informations sur la Rencontre
Nom de la rencontre : Shape Optimization, Spectral Geometry and Calculus of Variations / Optimisation de forme, géométrie spectrale et calcul des variationsOrganisateurs de la rencontre : Bucur, Dorin ; Fragalà, Ilaria ; Henrot, Antoine Dates : 29/03/2021 - 02/04/2021 Année de la rencontre : 2021 URL Congrès : https://conferences.cirm-math.fr/2299.html
Données de citation
DOI : 10.24350/CIRM.V.19738503Citer cette vidéo: Trombetti, Cristina (2021). Sharp inequalities for solutions to elliptic problems with mixed boundary conditions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19738503 URI : http://dx.doi.org/10.24350/CIRM.V.19738503 |
Voir aussi
- [Virtualconference] The Dirichlet-to-Neumann map, the boundary Laplacian and Hörmander's rediscovered manuscript / Auteur de la Conférence Polterovich, Iosif.
- [Virtualconference] Spectrum of the Möbius strip: true, fake and not-so-fake / Auteur de la Conférence Krejcirik, David.
- [Virtualconference] Upper and lower bounds for some shape functionals / Auteur de la Conférence Buttazzo, Giuseppe.
Bibliographie
- ALVINO, A., CHIACCHIO, F., NITSCH, C., et al. Sharp estimates for solutions to elliptic problems with mixed boundary conditions. Journal de Mathématiques Pures et Appliquées, 2020. - https://doi.org/10.1016/j.matpur.2020.12.003
