Study of solutions to an initial and boundary value problem for certain systems with variable exponents

被引：4

作者：

Gao, Yunzhu ^{[1
]}

Gao, Wenjie ^{[2
]}

机构：

[1] Beihua Univ, Dept Math & Stat, Jilin, Peoples R China

[2] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

existence; blow-up; parabolic system; hyperbolic system; variable exponent; BLOW-UP; PARABOLIC EQUATIONS; NONLINEAR-WAVE; NONEXISTENCE; THEOREMS;

D O I：

10.1186/1687-2770-2013-76

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence and blow-up property of solutions to an initial and boundary value problem for a nonlinear parabolic system with variable exponents is studied. Meanwhile, the blow-up property of solutions for a nonlinear hyperbolic system is also obtained.

引用

页数：10

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