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

Liangwei Wang and Jingxue Yin

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We investigate the asymptotic behavior of solutions for the heat equation in the weighted space Y0σ(ℝN)≡{φ∈C(ℝN):lim |x|→∞(10+|x|2) -σ/2φ(x)=}. Exactly, we find that the unbounded function space Y0σ(ℝN) with 0

Date: 2012
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https://doi.org/10.1155/2012/463082

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