| A Quasilinear Parabolic System with Nonlocal Sources and Weighted Nonlocal Boundary Conditions |
| Received:July 08, 2010 Revised:August 28, 2011 |
| Key Words:
quasilinear parabolic system nonlocal boundary conditions critical exponent blow-up rate weight functions.
|
| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11171048). |
|
| Hits: 2642 |
| Download times: 1686 |
| Abstract: |
| In this paper, we investigate the blow-up properties of a quasilinear reaction-diffusion system with nonlocal nonlinear sources and weighted nonlocal Dirichlet boundary conditions. The critical exponent is determined under various situations of the weight functions. It is observed that the boundary weight functions play an important role in determining the blow-up conditions. In addition, the blow-up rate estimate of non-global solutions for a class of weight functions is also obtained, which is found to be independent of nonlinear diffusion parameters $m$ and $n$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.05.001 |
| View Full Text View/Add Comment |
