Uniform Boundedness and Decay Estimates for a System of Reaction-Diffusion Equations with a Triangular Diffusion Matrix on

被引：0

作者：

Badraoui, Salah ^{[1
]}

Mehamedia, Zahra ^{[2
]}

机构：

[1] Univ 08 Mai 1945 Guelma, Lab LAIG, Guelma 24000, Algeria

[2] Univ 08 Mai 1945 Guelma, Dept Math, Fac Math Info SM, Guelma 24000, Algeria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 01期

关键词：

Reaction-diffusion equations; positivity of solutions; global existence; uniform boundedness; comparison principle; contraction mapping principle; contraction semigroup;

D O I：

10.1007/s00009-012-0239-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns with a class of reaction-diffusion systems with triangular diffusion matrix on the unbounded domain . The system with diagonal diffusion matrix has been studied by J. D. Avrin and F. Rothe in [4]. We prove two new results about uniform boundedness to solutions of such class of reaction-diffusion systems in , the space of bounded uniformly continuous functions from to .

引用

页码：241 / 254

页数：14

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