Continuation beyond interior gradient blow-up in a semilinear parabolic equation

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Marek Fila
  • Johannes Lankeit

External Research Organisations

  • Comenius University
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Details

Original languageEnglish
Pages (from-to)317-333
Number of pages17
JournalMathematische Annalen
Volume377
Issue number1-2
Publication statusPublished - Jun 2020
Externally publishedYes

Abstract

It is known that there is a class of semilinear parabolic equations for which interior gradient blow-up (in finite time) occurs for some solutions. We construct a continuation of such solutions after gradient blow-up. This continuation is global in time and we give an example when it never becomes a classical solution again.

ASJC Scopus subject areas

Cite this

Continuation beyond interior gradient blow-up in a semilinear parabolic equation. / Fila, Marek; Lankeit, Johannes.
In: Mathematische Annalen, Vol. 377, No. 1-2, 06.2020, p. 317-333.

Research output: Contribution to journal › Article › Research › peer review

Fila M, Lankeit J. Continuation beyond interior gradient blow-up in a semilinear parabolic equation. Mathematische Annalen. 2020 Jun;377(1-2):317-333. doi: 10.1007/s00208-019-01827-2
Fila, Marek ; Lankeit, Johannes. / Continuation beyond interior gradient blow-up in a semilinear parabolic equation. In: Mathematische Annalen. 2020 ; Vol. 377, No. 1-2. pp. 317-333.
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