The Cauchy problems for high dimensional quasilinear hyperbolic systems

被引：0

作者：

Zhu, CJ ^{[1
]}

机构：

[1] ACAD SINICA,INST MATH SCI,YOUNG SCIENTISTS LAB,WUHAN 430071,PEOPLES R CHINA

来源：

ACTA MATHEMATICA SCIENTIA | 1996年 / 16卷 / 02期

关键词：

quasilinear hyperbolic system; smooth solution; a priori estimates;

D O I：

10.1016/S0252-9602(17)30795-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence of the global smooth solution to the Cauchy problems for a class of diagonalizable high dimensional quasilinear hyperbolic systems consisted of n-equations.

引用

页码：209 / 217

页数：9

共 50 条

[1] THE CAUCHY PROBLEMS FOR HIGH DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS
朱长江
ActaMathematicaScientia, 1996, (02) : 209 - 217
[2] GLOBAL SMOOTH SOLUTIONS TO CAUCHY PROBLEMS FOR MULTIDIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS
谭得春
张同
ActaMathematicaScientia, 1992, (04) : 361 - 365
[3] GLOBAL SMOOTH SOLUTION OF CAUCHY PROBLEMS FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS
肖玲
李大潜
ChineseAnnalsofMathematics, 1983, (01) : 109 - 115
[4] GLOBAL SMOOTH SOLUTION OF CAUCHY-PROBLEMS FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS
HSIAO, L
LI, TT
CHINESE ANNALS OF MATHEMATICS SERIES B, 1983, 4 (01) : 109 - 115
[5] The Cauchy problem for quasilinear SG-hyperbolic systems
Cappiello, Marco
Zanghirati, Luisa
MATHEMATISCHE NACHRICHTEN, 2007, 280 (07) : 728 - 739
[6] CAUCHY-PROBLEM FOR QUASILINEAR SYMMETRIC HYPERBOLIC SYSTEMS
KATO, T
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1975, 58 (03) : 181 - 205
[7] Mixed problems for quasilinear hyperbolic systems
Turo, Jan
Nonlinear Analysis, Theory, Methods and Applications, 1997, 30 (04): : 2329 - 2340
[8] Mixed problems for quasilinear hyperbolic systems
Turo, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (04) : 2329 - 2340
[9] POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS
WANG WEIKE YANG XIONGFENG Department of Mathematics
ChineseAnnalsofMathematics, 2003, (04) : 457 - 468
[10] Pointwise estimates of solutions to cauchy problem for quasilinear hyperbolic systems
Wang, WK
Yang, XF
CHINESE ANNALS OF MATHEMATICS SERIES B, 2003, 24 (04) : 457 - 468

← 1 2 3 4 5 →