Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774580 | Journal of Mathematical Analysis and Applications | 2017 | 19 Pages |
Abstract
In this paper, we are concerned with the singular parabolic system ut=Îu+f(x)vâp,vt=Îv+g(x)uâq in a smooth bounded domain ΩâRN subject to zero Dirichlet conditions, with initial conditions u0(x),v0(x)>0. This problem is of interest as it is related to some problems in biology and physics. Under suitable assumptions on p,q and f(x),g(x), some existence results of weak and classical solutions are obtained using a functional method. This method is motivated by such results found in [4] and [5] when dealing with singular parabolic systems and the related references within.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shaohua Chen, Yurij Salmaniw, Runzhang Xu,