Work

Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends

Year: 2024

Type: article

Abstract: We prove a polynomial upper bound on the number of resonances in a disc whose radius tends to infinity for even asymptotically hyperbolic manifolds with real-analytic ends. Our analysis also gives a similar upper bound on the number of quasinormal frequencies for Schwarzschild-de Sitter spacetimes.

Source: Analysis & PDE

DOI: 10.2140/apde.2024.17.3623

Author: Malo Jézéquel

Institutions: Centre National de la Recherche Scientifique, Université de Bretagne Occidentale, Université de Bretagne Sud, Laboratoire de Mathématiques de Bretagne Atlantique, Université de Bretagne Occidentale

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Agence Nationale de la Recherche

Award: Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation