On the regularity of solutions of the Cauchy problem for the Zakharov-Kuznetsov equation in Holder norms

被引：3

作者：

Antonova, A. P. ^{[1
]}

Faminskii, A. V. ^{[1
]}

机构：

[1] Peoples Friendship Univ Russia, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2015年 / 97卷 / 1-2期

关键词：

Zakharov-Kuznetsov equation; Cauchy problem; interior regularity of a solution; Korteweg-de Vries equation;

D O I：

10.1134/S0001434615010022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of the interior regularity of generalized solutions of the Cauchy problem for the Zakharov-Kuznetsov equation is studied. The existence of Holder-continuous derivatives of given solutions is established. The study is based on the properties of the fundamental solution of the corresponding linearized equation.

引用

页码：12 / 20

页数：9

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