GLOBAL EXISTENCE AND BLOW-UP FOR A SYSTEM OF HEAT-EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS

Authors
DENG K
Citation
K. Deng, GLOBAL EXISTENCE AND BLOW-UP FOR A SYSTEM OF HEAT-EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS, Mathematical methods in the applied sciences, 18(4), 1995, pp. 307-315
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
18
Issue
4
Year of publication
1995
Pages
307 - 315
Database
ISI
SICI code
0170-4214(1995)18:4<307:GEABFA>2.0.ZU;2-X
Abstract
In this paper, we consider non-negative solutions of [GRAPHICS] We pro ve that if pq less than or equal to 1 every solution remains bounded, while all solutions blow up in a finite time if pq > 1. We also show t hat if p, q > 1, then blow-up can only occur on the boundary.