Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain

In this paper we deal with the initial boundary value problem for two classes of reaction diffusion systems with two source terms in bounded domain. Under some assumptions on the exponents and the initial data, applying the comparison principle, the maximum principle and the supersolution-subsolutio...

Full description

Saved in:
Bibliographic Details
Published inApplied Mathematics-A Journal of Chinese Universities Vol. 31; no. 4; pp. 389 - 408
Main Authors Xu, Run-zhang, Wang, Xing-chang, Chen, Shao-hua, Liu, Yu, Yang, Yan-bing
Format Journal Article
LanguageEnglish
Published Hangzhou Editorial Committee of Applied Mathematics - A Journal of Chinese Universities 01.12.2016
Springer Nature B.V
Subjects
Applications of Mathematics
Boundary value problems
Mathematics
Mathematics and Statistics
Maximum principle
Nonlinear systems
global existence
35A01
35B44
reaction diffusion equations
blow up
35B51
blow up rate
Online AccessGet full text

Cover

More Information
Summary:In this paper we deal with the initial boundary value problem for two classes of reaction diffusion systems with two source terms in bounded domain. Under some assumptions on the exponents and the initial data, applying the comparison principle, the maximum principle and the supersolution-subsolution method, we prove the global existence and blow up of solutions. We also establish some upper blow up rates.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-016-3136-2