Resonances over a potential well in an island

Affiliation auteursAffiliation ok
TitreResonances over a potential well in an island
Type de publicationJournal Article
Year of Publication2021
AuteursSjostrand J, Zerzeri M
JournalARKIV FOR MATEMATIK
Volume59
Pagination385-437
Type of ArticleArticle
ISSN0004-2080
Mots-clésmaximal energy, microlocal analysis, potential well, Resonances, Schrodinger operator, semi-classical asymptotic
Résumé

In this paper we study the distribution of scattering resonances for a multi-dimensional semi-classical Schrodinger operator, associated to a potential well in an island at energies close to the maximal one that limits the separation of the well and the surrounding sea.

DOI10.4310/ARKIV.2021.v59.n2.a7