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

Kazuhiro Ishige; Kanako Kobayashi

doi:10.1016/j.jde.2012.10.014

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

Kazuhiro Ishige, Kanako Kobayashi

SCI - Mathematics

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	1247-1268
Number of pages	22
Journal	Journal of Differential Equations
Volume	254
Issue number	3
DOIs	https://doi.org/10.1016/j.jde.2012.10.014
Publication status	Published - 2013 Feb 1

ASJC Scopus subject areas

Analysis
Applied Mathematics

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Ishige, K., & Kobayashi, K. (2013). Convection-diffusion equation with absorption and non-decaying initial data. Journal of Differential Equations, 254(3), 1247-1268. https://doi.org/10.1016/j.jde.2012.10.014

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