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
Journal:
Differential and Integral Equations

ISSN: 0893-4983

Year of publication: 2004

Volume: 17

Issue: 11-12

Pages: 1263-1271

Type: Article

DOI: 10.57262/DIE/1356060245 GOOGLE SCHOLAR lock_openOpen access editor

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Abstract

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.