Global solvability for Kirchhoff equation in special classes of non-analytic functions
Global solvability for Kirchhoff equation in special classes of non-analytic functions
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DOI：
10.1016/j.jde.2006.07.013
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发表时间：
2006-11
影响因子：
2.4
通讯作者：
F. Hirosawa
中科院分区：
文献类型：
--
作者：
F. Hirosawa
本文得到了如下两个性质：第一个性质是关于时间的变系数线性波动方程柯西问题的WKB解的精确表示；第二个性质是Kirchhoff方程在某些特殊的非实解析函数类中的整体可解性，这是由第一个性质的优雅所证明的。
In this paper we derive the following two properties: the first one is a precise representation of WKB solution to the Cauchy problem of a linear wave equation with a variable coefficient with respect to time, and the second one is the global solvability for Kirchhoff equation in some special classes of nonreal-analytic functions, which is proved by grace of the first property.