We consider blow-up problems of the Cauchy-Neumann problem for semilinear heat equations with large diffusion. We prove that, in cylindrical domains, the solutions blow up only at the edge of the domain for almost all initial data. Furthermore, we give an estimate of the blow-up time of the solutions.
|Number of pages||22|
|Journal||Advances in Differential Equations|
|Publication status||Published - 2002 Dec 1|
ASJC Scopus subject areas
- Applied Mathematics