Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials

Wen-YiHuang; Wen-LiChen

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Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials

机译：具有阻尼术语和非负势的非线性Klein-Gordon方程解决方案的全球存在与爆破

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This paper is concerned with the nonlinear Klein-Gordon equation with damping term andnonnegative potentials. We introduce a family of potential wells and discuss the invariant sets and vacuumisolating behavior of solutions. Using the potential well argument, we obtain a new existence theorem ofglobal solutions and a blow-up result for solutions in finite time.

机译：本文涉及具有阻尼项和缠绕电位的非线性Klein-Gordon方程。我们介绍了一系列潜在的井，并讨论了解决方案的不变集和禁用行为。使用潜在的井参数，我们获得了一个新的存在定理的全球解决方案和有限时间的解决方案的爆炸结果。

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《Abstract and applied analysis》 |2014年第2期|共9页
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Wen-YiHuang; Wen-LiChen;
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6. Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations [O] . Kamruzzaman Khan, M Ali Akbar, S M Rayhanul Islam -1

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7. Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials [O] . Wen-Yi Huang, Wen-Li Chen 2014

机译：具有阻尼术语和非负势的非线性Klein-Gordon方程解决方案的全球存在与爆破

Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials

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