Volume: 392; 2017; 203 pp; Softcover
MSC: Primary 49; 35;
Print ISBN: 978-2-85629-863-3
Product Code: AST/392
List Price: $67.00
AMS Member Price: $53.60
A Free Boundary Problem for the Localization of Eigenfunctions
Share this pageGuy David; Marcel Filoche; David Jerison; Svitlana Mayboroda
A publication of the Société Mathématique de France
The authors study a variant of the Alt, Caffarelli, and Friedman free boundary problem, with many phases and a slightly different volume term, which the authors originally designed to guess the localization of eigenfunctions of a Schrödinger operator in a domain. The authors prove Lipschitz bounds for the functions and some nondegeneracy and regularity properties for the domains.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Readership
Graduate students and researchers interested in free boundary problems and localization of eigenfunctions.