Work

The Principle of Limiting Amplitude for Perturbed Wave Equations in an Exterior Domain

Year: 2024

Type: article

Abstract: In this paper we consider the dissipative wave propagation problem in an exterior domain. Uniform estimates and Hölder conditions of the resolvent are studied for the reduced wave operator without dissipation. Based on these results, the validity of the principle of the limiting amplitude is proved for the wave propagation problem with dissipation.

Source: Publications of the Research Institute for Mathematical Sciences

DOI: 10.4171/prims/60-3-6

Authors: Kiyoshi Mochizuki, Hideo Nakazawa

Institutions: Chuo University, Nippon Medical School

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4403071811

FWCI: 0.674

Cites:

Cited by: 1

Related to: 10