Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions

IF 0.7 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2009-01-07 DOI:10.1063/1.3040185

Jong Yeoul Park, T. Ha

引用次数: 67

Abstract

In this paper, we consider the Klein–Gordon equation u″+−αΔu+β|u′|pu′+γ|u|qu=0 with damping term and acoustic boundary conditions. This work is devoted to prove the existence of global solutions and uniform decay rates of solutions of the Klein–Gordon equation with damping term and acoustic boundary conditions.

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具有阻尼项和声学边界条件的Klein-Gordon方程的适定性和均匀衰减率

本文考虑具有阻尼项和声学边界条件的Klein-Gordon方程u″+−αΔu+β|u′|pu′+γ|u′| qu=0。本文致力于证明具有阻尼项和声学边界条件的Klein-Gordon方程解的整体解和均匀衰减率的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.