Universal bounds at the blow-up time for nonlinear parabolic equations. (English) Zbl 1122.35042
The authors give bounds for the blow-up rate of solutions to certain parabolic equations. The bounds the authors found are universal, in the sense that they do not depend on the initial data corresponding to the solutions, only on the structure of the equation, and on the blow-up time itself.
Reviewer: Messoud A. Efendiev (Berlin)
MSC:
| 35K55 | Nonlinear parabolic equations |
| 35K57 | Reaction-diffusion equations |
| 35K65 | Degenerate parabolic equations |
| 35B45 | A priori estimates in context of PDEs |
| 35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
