Decay estimates for a class of wave equations

Abstract

In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by $e^{it\varphi (\sqrt{-\Delta })}$, where $\varphi :{\mathbb{R}}^{+}\to \mathbb{R}$ is smooth away from the origin. Especially, the decay estimates for the solutions of the Klein-Gordon equation and the beam equation are simplified and slightly improved.

16 pages, 0 figure

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