The Principle of Limiting Amplitude for Perturbed Wave Equations in an Exterior Domain
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.
Authors
- Kiyoshi Mochizuki
- Hideo Nakazawa
Institutions
- Nippon Medical School (JP)
- Chuo University (JP)
Publication Details
- Journal
- Publications of the Research Institute for Mathematical Sciences
- Published
- 2024-10-02
- DOI
- https://doi.org/10.4171/prims/60-3-6
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00