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On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions

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Authors

  • Simon Gvelesiani
  • Friedrich Lippoth
  • Christoph Walker

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    • Citation Indexes: 2
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Details

Original languageEnglish
Pages (from-to)7060-7085
Number of pages26
JournalJournal of differential equations
Volume259
Issue number12
Publication statusPublished - 15 Dec 2015

Abstract

We provide sufficient and almost optimal conditions for global existence of classical solutions in parabolic Hölder spaces to quasilinear one-dimensional parabolic problems with dynamical boundary conditions.

Keywords

    Bernstein-Nagumo condition, Doubling of variables, Dynamical boundary conditions, Global solutions

ASJC Scopus subject areas

Cite this

On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions. / Gvelesiani, Simon; Lippoth, Friedrich; Walker, Christoph.
In: Journal of differential equations, Vol. 259, No. 12, 15.12.2015, p. 7060-7085.

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

Gvelesiani S, Lippoth F, Walker C. On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions. Journal of differential equations. 2015 Dec 15;259(12):7060-7085. doi: 10.1016/j.jde.2015.08.010
Gvelesiani, Simon ; Lippoth, Friedrich ; Walker, Christoph. / On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions. In: Journal of differential equations. 2015 ; Vol. 259, No. 12. pp. 7060-7085.
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AU - Walker, Christoph

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