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<σ<N can provide a setting where complexity occurs in the asymptotic behavior of solut...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/463082 |
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