TY - JOUR
T1 - Convection-diffusion equation with absorption and non-decaying initial data
AU - Ishige, Kazuhiro
AU - Kobayashi, Kanako
PY - 2013/2/1
Y1 - 2013/2/1
N2 - 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.
AB - 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.
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U2 - 10.1016/j.jde.2012.10.014
DO - 10.1016/j.jde.2012.10.014
M3 - Article
AN - SCOPUS:84870368879
VL - 254
SP - 1247
EP - 1268
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 3
ER -