Vol. 136, No. 1, 1989

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A remark on the limiting absorption principle for the reduced wave equation with two unbounded media

Yoshimi Saito

Vol. 136 (1989), No. 1, 183–208
Abstract

Eidus recently proved the limiting absorption principle for the reduced wave equation with two unbounded media, and he used it to show the limiting amplitude principle for the wave equation. In this paper we shall show that his limiting absorption principle can be improved so that it holds on the same weighted Sobolev spaces as were used in the case of the Schrödinger equation.

Mathematical Subject Classification 2000
Primary: 35J05
Secondary: 35P25
Milestones
Received: 24 August 1987
Revised: 18 March 1988
Published: 1 January 1989
Authors
Yoshimi Saito