Construction of non-analytic solutions for the generalized KdV equation

被引：18

作者：

Gorsky, J ^{[1
]}

Himonas, AA ^{[1
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 303卷 / 02期

基金：

美国国家科学基金会;

关键词：

KdV; mKdV; generalized KdV; Cauchy problem; analytic initial data; non-analytic solutions; Cauchy estimates;

D O I：

10.1016/j.jmaa.2004.08.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In both the periodic and non-periodic case we construct non-analytic complex-valued solutions for the generalized KdV equation with appropriate analytic initial data. Moreover, for the KdV and mKdV we construct real-valued non-analytic solutions. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：522 / 529

页数：8

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