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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Marek Fila
  • Johannes Lankeit

Externe Organisationen

  • Comenius University
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Details

OriginalspracheEnglisch
Seiten (von - bis)317-333
Seitenumfang17
FachzeitschriftMathematische Annalen
Jahrgang377
Ausgabenummer1-2
PublikationsstatusVeröffentlicht - Juni 2020
Extern publiziertJa

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 Sachgebiete

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Continuation beyond interior gradient blow-up in a semilinear parabolic equation. / Fila, Marek; Lankeit, Johannes.
in: Mathematische Annalen, Jahrgang 377, Nr. 1-2, 06.2020, S. 317-333.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 ; Jahrgang 377, Nr. 1-2. S. 317-333.
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