Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616968 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
This paper deals with global and blowup solutions of the quasilinear parabolic equation ut=α(x,u,âu)Îu+f(x,u,âu) with homogeneous Dirichlet boundary conditions. We will give sufficient conditions such that the solutions either exist globally or blow up in a finite time for any smooth initial values. In special cases, a necessary and sufficient condition for global existence is given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shaohua Chen,