On the Singular Solutions of the Korteweg-de Vries Equation

被引：6

作者：

Pokhozhaev, S. I. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia

来源：

MATHEMATICAL NOTES | 2010年 / 88卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

Korteweg-de Vries equation; singular solution; Cauchy problem; traveling wave; nonlinear capacity; Holder inequality;

D O I：

10.1134/S0001434610110131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two classes of singular solutions of the KdV equation: singular solutions of the Cauchy problem and singular traveling waves. In both cases, we establish sufficient conditions for their existence.

引用

页码：741 / 747

页数：7

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