On directional blow-up for quasilinear parabolic equations with fast diffusion (Q2473908)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On directional blow-up for quasilinear parabolic equations with fast diffusion |
scientific article |
Statements
On directional blow-up for quasilinear parabolic equations with fast diffusion (English)
0 references
5 March 2008
0 references
Blow-up of positive solutions of the Cauchy problem for a quasilinear parabolic equation of the fast diffusion type is studied. It is shown that if a solution blows up at minimal blow-up time then it blows up only at space infinity and possesses blow-up directions which are characterized by initial data. A necessary and sufficient condition for blow-up at minimal blow-up time is also given.
0 references
blow-up at space infinity
0 references
blow-up direction
0 references
minimal blow-up time
0 references
0 references
