Spatial behaviour for quasilinear parabolic equations in cylinders and cones
✍ Scribed by Ramón Quintanilla
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1998
- Tongue
- English
- Weight
- 258 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1021-9722
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📜 SIMILAR VOLUMES
## Abstract We study the long‐time behaviour of solutions to a quasilinear parabolic problem on a half‐line. The main result lies in showing the existence of a positive solution that converges to the travelling wave of solution to the stationary problem on the whole line. The main tools used here a
This paper deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut = A@ + v\*enu, vt = Au" + uaeflv with homogeneous Dirichlet boundary data. The results depend crucially on the sign of the difference pq -pclv and on the domain R.