Sharp inequalities for solutions to elliptic problems with mixed boundary conditions | Vidéo | Carmin.tv

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Sharp inequalities for solutions to elliptic problems with mixed boundary conditions

De Cristina Trombetti

Apparaît dans la collection : Shape Optimization, Spectral Geometry and Calculus of Variations / Optimisation de forme, géométrie spectrale et calcul des variations

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.

Informations sur la vidéo

Date de captation 02/04/2021
Date de publication 20/04/2021
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19738503
Citer cette vidéo Trombetti, Cristina (02/04/2021). Sharp inequalities for solutions to elliptic problems with mixed boundary conditions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19738503
URL https://dx.doi.org/10.24350/CIRM.V.19738503

Domaine(s)

Equations aux dérivées partielles

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

Codes MSC

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