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
Ano de publicación: 2004
Volume: 17
Número: 11-12
Páxinas: 1263-1271
Tipo: Artigo
Outras publicacións en: Differential and Integral Equations
Resumo
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.