Decay estimates for a class of wave equations

Details Decay estimates for a class of wave equations Decay estimates for a class of wave equations

2008-02-21

arxiv.org/abs/0802.3167v1

Journal of Functional Analysis 254 (2008) 1642-1660

Mathematics

Analysis of PDEs

16 pages, 0 figure

Scientific paper

10.1016/j.jfa.2007.12.010

In this paper we use a unified way studying the decay estimate for a class of
dispersive semigroup given by $e^{it\phi(\sqrt{-\Delta})}$, where $\phi:
\mathbb{R}^+\to \mathbb{R}$ 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.

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