Global existence and asymptotic stability for coupled nonlinear Klein-Gordon equations with nonlinear damping terms

Yaojun Ye

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Global existence and asymptotic stability for coupled nonlinear Klein-Gordon equations with nonlinear damping terms

机译：带有非线性阻尼项的非线性Klein-Gordon耦合方程的整体存在性和渐近稳定性

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摘要

We study coupled nonlinear Klein-Gordon equations with nonlinear damping and source terms, in a bounded domain with the initial and Dirichlet boundary conditions. The existence of global solutions is discussed by using the potential well method, and the asymptotic stability is also given by applying a lemma due to V. Komornik [Exact controllability and stabilization. The multiplier method. Paris: RAM: Research in Applied Mathematics, Masson-John Wiley; 1994].

机译：我们在具有初始和Dirichlet边界条件的有界域中研究具有非线性阻尼和源项的非线性Klein-Gordon方程。通过使用势阱方法讨论了整体解的存在性，并且还通过应用V. Komornik [精确的可控制性和稳定性]引理给出了渐近稳定性。乘数法。巴黎：RAM：应用数学研究，Masson-John Wiley； 1994]。

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来源
《Dynamical Systems》 |2013年第2期|287-298|共12页
作者
Yaojun Ye;
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作者单位

Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou 310023, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
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关键词
coupled Klein-Gordon equations; initial-boundary value problem; global solutions; asymptotic stability;

机译：耦合的Klein-Gordon方程;初边值问题全球解决方案;渐近稳定性;

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Global existence and asymptotic stability for coupled nonlinear Klein-Gordon equations with nonlinear damping terms

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