Open AccessComplicated Asymptotic Behavior of Solutions for Heat Equation in Some Weighted Space
Author(s) -
Liangwei Wang,
Jingxue Yin
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/463082
Subject(s) - mathematics , heat equation , space (punctuation) , function (biology) , mathematical analysis , asymptotic analysis , function space , philosophy , linguistics , evolutionary biology , biology
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<σ
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