Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term

Alkis S. Tersenov, Aris S. Tersenov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The Cauchy-Dirichlet problem for anisotropic parabolic equation with time-dependent exponents and gradient term is considered. We state conditions that guarantee the existence and uniqueness of a viscosity solution which is Lipschitz continuous in the space variables and Hölder continuous in time.

Original languageEnglish
Article number123386
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume480
Issue number1
DOIs
Publication statusPublished - 1 Dec 2019

Keywords

  • A priori estimates
  • Anisotropic equations
  • Boundary value problems
  • Viscosity solutions
  • VISCOSITY SOLUTIONS
  • P(X
  • CONTINUITY
  • REGULARITY
  • WEAK SOLUTIONS
  • UNIQUENESS

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