Resonances over a potential well in an island

Johannes Sjöstrand; Maher Zerzeri

doi:10.4310/ARKIV.2021.v59.n2.a7

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Home > Journals > Ark. Mat. > Volume 59 > Issue 2 > Article

October 2021 Resonances over a potential well in an island

Johannes Sjöstrand, Maher Zerzeri

Author Affiliations +

Johannes Sjöstrand,¹ Maher Zerzeri²
¹Institut de Mathématiques de Bourgogne, Université de Bourgogne Franche-Comté, Dijon, France
²Laboratoire Analyse, Géométrie et Applications, Université Sorbonne Paris-Nord, Villetaneuse, France

Ark. Mat. 59(2): 385-437 (October 2021). DOI: 10.4310/ARKIV.2021.v59.n2.a7

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Abstract

In this paper we study the distribution of scattering resonances for a multi-dimensional semi-classical Schrödinger 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.

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Johannes Sjöstrand. Maher Zerzeri. "Resonances over a potential well in an island." Ark. Mat. 59 (2) 385 - 437, October 2021. https://doi.org/10.4310/ARKIV.2021.v59.n2.a7