Global singularity structure of weak solutions to 3-D semilinear dispersive wave equations with discontinuous initial data

被引：3

作者：

Yin, HC

Witt, I

机构：

[1] Univ Potsdam, Inst Math, D-14415 Potsdam, Germany

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 196卷 / 01期

基金：

中国国家自然科学基金;

关键词：

singularities; tangent vector fields; Strichartz' inequality;

D O I：

10.1016/S0022-0396(03)00106-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the global singularity structure of solutions to 3-D semilinear wave equations with discontinuous initial data. More precisely, using Strichartz' inequality we show that the solutions stay conormal after nonlinear interaction if the Cauchy data are conormal along a circle. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：134 / 150

页数：17

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