Existence of solution for the n-dimension second order semilinear hyperbolic equations

被引：2
作者：
Kangqun, Zhang [1 ,2 ]
机构：
[1] Nanjing Inst Technol, Dept Basic Course, Nanjing 211167, Peoples R China
[2] Nanjing Univ, Dept Math & IMS, Nanjing 210093, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 381卷 / 01期
关键词：
Hyperbolic equation; Singular coefficient; Weighted estimate; Existence; CAUCHY-PROBLEM; GLOBAL EXISTENCE; REGULARITY-LOSS; COEFFICIENTS;
D O I：
10.1016/j.jmaa.2011.03.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper we establish the local and global existence of solution for the n-dimensional second order semilinear hyperbolic equation with a strongly singular coefficient which appears in the boundary-value problems of fluid dynamics. Based on the analysis about the loss of regularity on the line t = 0 for the solution of the corresponding linear equation and the decay at infinity which caused by the singular coefficient, we obtain the existence of a small solution for the semilinear equation by use of fixed point theorem. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：427 / 440
页数：14
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