Pointwise estimates of solutions to cauchy problem for quasilinear hyperbolic systems

被引：11

作者：

Wang, WK ^{[1
]}

Yang, XF

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2003年 / 24卷 / 04期

关键词：

weakly linearly degenerate; matching condition; normalize translation and normalize coordinate;

D O I：

10.1142/S0252959903000451

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers the pointwise estimate of the solutions to Cauchy problem for quasilinear hyperbolic systems, which bases on the existence of the solutions by using the fundamental solutions. It gives a sharp pointwise estimates of the solutions on domain under consideration. Specially, the estimate is precise near each characteristic direction.

引用

页码：457 / 468

页数：12

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