Instantaneous Blow-up of Classical Solutions to the Cauchy Problem for the Khokhlov-Zabolotskaya Equation

被引：4

作者：

Korpusov, M. O. ^{[1
]}

Mikhailenko, S. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 07期

关键词：

nonlinear capacity; blow-up;

D O I：

10.1134/S0965542517030095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy problem for a second-order nonlinear equation with mixed derivatives is considered. It is proved that its classical local-in-time solution does not exist. The blow-up of the solution is proved by applying S.I. Pohozaev and E.L. Mitidieri's nonlinear capacity method.

引用

页码：1167 / 1172

页数：6