A Quasilinear Parabolic System with Nonlocal Boundary Condition
<p/> <p>We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary. And then we establi...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
|
| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2011/750769 |
| Summary: | <p/> <p>We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary. And then we establish the precise blow-up rate estimate. These extend the resent results of Wang et al. (2009), which considered the special case <inline-formula> <graphic file="1687-2770-2011-750769-i1.gif"/></inline-formula>, and Wang et al. (2007), which studied the single equation.</p> |
|---|---|
| ISSN: | 1687-2762 1687-2770 |