Regularity results for the blow-up time as a function of the initial data
- Chaves, Manuela 2
- Rossi, Julio D. 1
- 1 Departamento de Matemática, FCEyN., UBA (1428) Buenos Aires, Argentina
- 2 Departamento de Matemáticas, U. Autonóma de Madrid, Spain
ISSN: 0893-4983
Année de publication: 2004
Volumen: 17
Número: 11-12
Pages: 1263-1271
Type: Article
D'autres publications dans: Differential and Integral Equations
Résumé
We study the dependence of the finite blow-up time with respect to the initial data for solutions of the equation ut = Δum + up. We obtain Lipschitz continuity for a certain class of initial data and Hölder regularity for wider classes.