非线性Klein-Gordon方程的渐近理论
Asymptotic Theory for Nonlinear Klein-Gordon Equations
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摘要: 采用整体迭代法,研究n维Klein-Gordon方程Cauahy问题的渐近理论,在Sobolev空间中,证明了初值 问题的适定性和形式近似解的合理性在长时间t∈[0,T(ε))内成立,其中ε是小参数.
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关键词:
- 适定性 /
- 渐近理论 /
- Klein-Gordon方程
Abstract: The asymptotic theory of Cauchy problems forn-dimensional Klein-Gordon equations was studied with global iterative technique. The well-posedness of the problem and the validity of formal approximations on a long time scalet∈[0,T(ε)), whereεis a small parameter, were proved in a proper Sobolev space.-
Key words:
- well-posedness /
- asymptotic theory /
- Klein-Gordon equations
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