EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION

Jian Wen Sun, Seonghak Kim

Research output: Contribution to journalArticlepeer-review

Abstract

We estimate decay rates of solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in any dimension. Such decay rates depend only on the constitutive relations, spatial domain, and range of the initial function.

Original languageEnglish
Pages (from-to)5411-5418
Number of pages8
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume27
Issue number10
DOIs
StatePublished - Oct 2022

Keywords

  • Quasilinear parabolic equations
  • comparison principle
  • exponential decay
  • maximum principle
  • principal eigenvalue
  • subsolutions
  • super

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