Globally smooth solutions to Cauchy problem of a quasilinear hyperbolic system arising in biology

被引：2

作者：

Zheng, YS ^{[1
]}

机构：

[1] Huaqiao Univ, Dept Math, Quanzhou 362011, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2001年 / 21卷 / 04期

关键词：

nonlinear hyperbolic system; Cauchy problem; global C-1-solution;

D O I：

10.1016/S0252-9602(17)30435-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article considers Cauchy problem u(t) - (uv)(x) = 0, v(t) - u(x) = 0, u(x, 0) = u(0) (x) > 0, v(x, 0) = v(0)(x). A necessary and sufficient condition in guaranteeing that Cauchy problem admits a global C-1-solution on t greater than or equal to 0 is obtained.

引用

页码：460 / 468

页数：9

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