A free boundary problem for the localization of eigenfunctions / Guy David, Marcel Filoche, David Jerison, Svitlana Mayboroda

Auteur: David, Guy (1957-) - AuteurType de document: MonographieCollection: Astérisque ; 392Langue: anglaisPays: FranceÉditeur: Paris : Société Mathématique de France, cop. 2017Description: 1 vol. (203 p.) ; 24 cm ISBN: 978856298633 ; br. Note: We study a variant of the Alt, Caffarelli, and Friedman free boundary problem, with many phases and a slightly different volume term, which we originally designed to guess the localization of eigenfunctions of a Schrödinger operator in a domain. We prove Lipschitz bounds for the functions and some nondegeneracy and regularity properties for the domains Sujets MSC: 49Q20 Calculus of variations and optimal control; optimization -- Manifolds -- Variational problems in a geometric measure-theoretic setting
35B65 Partial differential equations -- Qualitative properties of solutions -- Smoothness and regularity of solutions
En-ligne: SMF - texte intégral
Location Call Number Status Date Due
Salle R 12416-01 / Séries SMF 392 (Browse Shelf) Available

We study a variant of the Alt, Caffarelli, and Friedman free boundary problem, with many phases and a slightly different volume term, which we originally designed to guess the localization of eigenfunctions of a Schrödinger operator in a domain. We prove Lipschitz bounds for the functions and some nondegeneracy and regularity properties for the domains

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