Solution to nonlinear gradient dependent systems with a balance law

Electronic Journal of Differential Equations

卷:2007

关键词: Reaction-diffusion systems;    global existence;    asymptotic behavior;    maximum principle;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we are concerned with the initial boundary valueproblem (IBVP) and with the Cauchy problem to the reaction-diffusionsystem$$ displaylines{u_t-Delta u= -u^n | abla v |^p,crv_t-d Delta v=u^n | abla v|^p,}$$where $1leq pleq 2$, d and n are positive real numbers.Results on the existence and large-time behaviorof the solutions are presented.

【 授权许可】

Unknown