Decay estimates for a class of wave equations

Guo, Zihua; Peng, Lizhong; Wang, Baoxiang

Decay estimates for a class of wave equations

Authors

Guo, Zihua

Peng, Lizhong

Wang, Baoxiang

Description

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.
16 pages, 0 figure