On Solutions of Nonlinear Wave Equations

On Solutions of Nonlinear Wave Equations
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DOI:
10.1143/jpsj.31.280
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发表时间:
1971-07
影响因子:
1.7
通讯作者:
H. Kawarada
H. Kawarada
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
H. Kawarada

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本文将讨论具有非线性摄动的波动方程的初边值问题。上述问题解的不存在性主要取决于非线性扰动的结构。给出了上述问题不存在整体解的充分条件。
Initial and boundary value problems of wave equations with nonlinear perturbation will be discussed. The non-existence of solutions for the above problems primarily depends upon the structure of nonlinear perturbation. Some sufficient conditions for the non-existence of global solutions of the above problems will be derived.