Regularity results for the blow-up time as a function of the initial data

Chaves, Manuela; Rossi, Julio D.

doi:10.57262/DIE/1356060245

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

Revista:

Differential and Integral Equations

ISSN: 0893-4983

Año de publicación: 2004

Volumen: 17

Número: 11-12

Páginas: 1263-1271

Tipo: Artículo

DOI: 10.57262/DIE/1356060245 GOOGLE SCHOLAR Acceso abierto editor

Otras publicaciones en: Differential and Integral Equations

Resumen

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.