JournalsprimsVol. 60, No. 3pp. 583–606

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

  • Kiyoshi Mochizuki

    Chuo University, Tokyo, Japan

  • Hideo Nakazawa

    Nippon Medical School, Tokyo, Japan
The Principle of Limiting Amplitude for Perturbed Wave Equations in an Exterior Domain cover
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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.

Cite this article

Kiyoshi Mochizuki, Hideo Nakazawa, The Principle of Limiting Amplitude for Perturbed Wave Equations in an Exterior Domain. Publ. Res. Inst. Math. Sci. 60 (2024), no. 3, pp. 583–606

DOI 10.4171/PRIMS/60-3-6