Complicated Asymptotic Behavior of Solutions for Heat Equation in Some Weighted Space

We investigate the asymptotic behavior of solutions for the heat equation in the weighted space Y0σ(ℝN)≡{φ∈C(ℝN):lim |x|→∞(1+|x|2)-σ/2φ(x)=0}. Exactly, we find that the unbounded function space Y0σ(ℝN) with 0

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Bibliographic Details
Published in:Abstract and applied analysis 2012, Vol.2012 (2012), p.1-15
Main Authors: Wang, Liangwei, Yin, Jingxue
Format: Article
Language:English
Online Access:Get full text
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Summary:We investigate the asymptotic behavior of solutions for the heat equation in the weighted space Y0σ(ℝN)≡{φ∈C(ℝN):lim |x|→∞(1+|x|2)-σ/2φ(x)=0}. Exactly, we find that the unbounded function space Y0σ(ℝN) with 0
ISSN:1085-3375
1687-0409