A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM

数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (4): 571-576.

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A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM

郑永树, 刘法贵

Department of Mathematics, Huaqiao University, Quanzhou, Fujian 362011, China North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450045, China

收稿日期:1997-09-08 出版日期:2000-06-15 发布日期:2000-06-15
基金资助:
Project supported by the NSF of China (19971062), the NSF of Fujian Province
(A97020) and the NSF of Educational Committee of Henan Province

A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM

ZHENG Yong-Shu, LIU Fa-Gui

Department of Mathematics, Huaqiao University, Quanzhou, Fujian 362011, China North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450045, China

Received:1997-09-08 Online:2000-06-15 Published:2000-06-15
Supported by:
Project supported by the NSF of China (19971062), the NSF of Fujian Province
(A97020) and the NSF of Educational Committee of Henan Province

摘要/Abstract

摘要：

This article considers Cauchy problem for quasilinear hyperbolic systems in
diagonal form. A necessary and sufficient condition in guaranteeing that Cauchy problem
admits a unique global classical solution on t 0 is obtained, and a sharp estimate of the
life span for the classical solution is given.

关键词: Cauchy problem, global classical solution, blow-up, life span

Abstract:

Key words: Cauchy problem, global classical solution, blow-up, life span

中图分类号:

35L60

郑永树, 刘法贵.

A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM[J]. 数学物理学报(英文版), 2000, 20(4): 571-576.

ZHENG Yong-Shu, LIU Fa-Gui.

A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM[J]. Acta mathematica scientia,Series B, 2000, 20(4): 571-576.

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A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM

A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM

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