Complicated Asymptotic Behavior of Solutions for Heat Equation in Some Weighted Space
Keyword(s):
We investigate the asymptotic behavior of solutions for the heat equation in the weighted spaceY0σ(ℝN)≡{φ∈C(ℝN):lim |x|→∞(1+|x|2)-σ/2φ(x)=0}. Exactly, we find that the unbounded function spaceY0σ(ℝN)with0<σ<Ncan provide a setting where complexity occurs in the asymptotic behavior of solutions for the heat equation.
1996 ◽
Vol 13
(1)
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pp. 1-15
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2016 ◽
Vol 435
(1)
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pp. 112-132
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