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

  1. Chaves, Manuela 2
  2. Rossi, Julio D. 1
  1. 1 Departamento de Matemática, FCEyN., UBA (1428) Buenos Aires, Argentina
  2. 2 Departamento de Matemáticas, U. Autonóma de Madrid, Spain
Revista:
Differential and Integral Equations

ISSN: 0893-4983

Ano de publicación: 2004

Volume: 17

Número: 11-12

Páxinas: 1263-1271

Tipo: Artigo

DOI: 10.57262/DIE/1356060245 GOOGLE SCHOLAR lock_openAcceso aberto editor

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.