Arkiv för Matematik
Volume 59 (2021)
Resonances over a potential well in an island
Pages: 385 – 437
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.
resonances, semi-classical asymptotic, microlocal analysis, Schrödinger operator, potential well, maximal energy
2010 Mathematics Subject Classification
Primary 35J10. Secondary 35B34, 35P20, 47A55.
Received 10 April 2020
Received revised 10 December 2020
Accepted 28 December 2020
Published 11 November 2021