Degenerate Kirchhoff equation in ultradifferentiable class

被引：5

作者：

Hirosawa, F ^{[1
]}

机构：

[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 01期

关键词：

degenerate hyperbolic equation; Gevery class; Kirchhoff equation; local existence; ultradifferentiable class;

D O I：

10.1016/S0362-546X(00)00174-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solution for the degenerate Kirchhoff equation in ultradifferential class was discussed. The proof of the problem was given in a ultradifferential class which is not included in a real-analytical solution. The solution for the Cauchy problem was obtained for the degenerate quasilinear hyberbolic equation of Kirchhoff type. The existence of a solution, with a degenerate and non-Lipschitz continuous function in a global real-analytical class, was established.

引用

页码：77 / 94

页数：18

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