Convection-diffusion equation with absorption and non-decaying initial data

Kazuhiro Ishige, Kanako Kobayashi

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper we give the precise description of the large time behavior of the solution u of the Cauchy problem by using the ordinary differential equation ζ '=-ζ β and a linear parabolic equation. Here N≥1, a∈R N, α>1, β>1, λ>0, and φ is a bounded continuous function such that φ∈L p(R N) for some 1≤p<∞. Furthermore, we study the large time behavior of the hot spots for the solution u.

Original languageEnglish
Pages (from-to)1247-1268
Number of pages22
JournalJournal of Differential Equations
Volume254
Issue number3
DOIs
Publication statusPublished - 2013 Feb 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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