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

共 50 条

[1] POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS
WANG WEIKE YANG XIONGFENG Department of Mathematics
[J]. Chinese Annals of Mathematics, 2003, (04) : 457 - 468
[2] GLOBAL SOLUTIONS TO THE CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC PARABOLIC COUPLED SYSTEMS
郑宋穆
沈玮熙
[J]. Science China Mathematics, 1987, (11) : 1133 - 1149
[3] GLOBAL SOLUTIONS TO THE CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC PARABOLIC COUPLED SYSTEMS
郑宋穆
沈玮熙
[J]. ScienceinChina,Ser.A., 1987, Ser.A.1987 (11) - 1149
[4] BREAKDOWN OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM FOR INHOMOGENEOUS QUASILINEAR HYPERBOLIC SYSTEMS
Xu, Yumei
Wang, Libin
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (06): : 827 - 851
[5] Cauchy problem for quasilinear hyperbolic systems with coefficients functionally dependent on solutions
Zdanowicz, M.
Peradzynski, Z.
[J]. ARCHIVES OF MECHANICS, 2007, 59 (02): : 173 - 197
[6] Breakdown of classical solutions to Cauchy problem for inhomogeneous quasilinear hyperbolic systems
Yumei Xu
Libin Wang
[J]. Indian Journal of Pure and Applied Mathematics, 2015, 46 : 827 - 851
[7] The pointwise estimates of solutions to the Cauchy problem of a chemotaxis model
Renkun Shi
Weike Wang
[J]. Chinese Annals of Mathematics, Series B, 2016, 37 : 111 - 124
[8] The Pointwise Estimates of Solutions to the Cauchy Problem of a Chemotaxis Model
Renkun SHI
Weike WANG
[J]. Chinese Annals of Mathematics,Series B, 2016, 37 (01) : 111 - 124
[9] The Pointwise Estimates of Solutions to the Cauchy Problem of a Chemotaxis Model
Shi, Renkun
Wang, Weike
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2016, 37 (01) : 111 - 124
[10] STABILITY OF TRAVELING WAVE SOLUTIONS TO CAUCHY PROBLEM OF DIAGNOLIZABLE QUASILINEAR HYPERBOLIC SYSTEMS
Liu, Cunming
Liu, Jianli
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (11) : 4735 - 4749

← 1 2 3 4 5 →