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arXiv · 0802.3167

Decay estimates for a class of wave equations

Zihua Guo·Lizhong Peng·Baoxiang Wang
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Abstract

In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by $e^{itϕ(\sqrt{-Δ})}$, where $ϕ: \mathbb{R}^+\to \mathbb{R}$ 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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Zihua Guo, Lizhong Peng, Baoxiang Wang. 2008-02-21. Decay estimates for a class of wave equations. https://doi.org/10.1016/j.jfa.2007.12.010

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