On instant blow-up for semilinear heat equations with growing initial data

DOI IR (HANDLE) Open Access

Description

For a semilinear heat equation admitting blow-up solutions a sufficient condition for nonexistence of local-in-time solutions are obtained. In particular, it is shown that if an initial data tends to infinity at space infinity then there is no local-in-time solution. As an application if the solution blows up at space infinity with least blow-up time, the solution cannot be extendable after blow-up time.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390853649725555712
  • NII Article ID
    120006459612
  • DOI
    10.14943/84065
  • HANDLE
    2115/69723
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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