Decay estimates for a class of wave equations

Zihua Guo; Lizhong Peng; Baoxiang Wang

doi:10.1016/j.jfa.2007.12.010

Decay estimates for a class of wave equations

Zihua Guo, Lizhong Peng, Baoxiang Wang

Research output: Contribution to journal › Article › Research › peer-review

65 Citations (Scopus)

Abstract

In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by e^{i t φ{symbol} (sqrt(- Δ))}, where φ{symbol} : R⁺ → 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.

Original language	English
Pages (from-to)	1642-1660
Number of pages	19
Journal	Journal of Functional Analysis
Volume	254
Issue number	6
DOIs	https://doi.org/10.1016/j.jfa.2007.12.010
Publication status	Published - 15 Mar 2008
Externally published	Yes

Keywords

Decay estimates
Dispersive wave equations

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10.1016/j.jfa.2007.12.010

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title = "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 ei t φ{symbol} (sqrt(- Δ)), where φ{symbol} : R+ → 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.",

keywords = "Decay estimates, Dispersive wave equations",

author = "Zihua Guo and Lizhong Peng and Baoxiang Wang",

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AU - Wang, Baoxiang

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N2 - In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by ei t φ{symbol} (sqrt(- Δ)), where φ{symbol} : R+ → 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.

AB - In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by ei t φ{symbol} (sqrt(- Δ)), where φ{symbol} : R+ → 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.

KW - Decay estimates

KW - Dispersive wave equations

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U2 - 10.1016/j.jfa.2007.12.010

DO - 10.1016/j.jfa.2007.12.010

M3 - Article

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SN - 0022-1236

VL - 254

SP - 1642

EP - 1660

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 6

ER -

Decay estimates for a class of wave equations

Abstract

Keywords

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