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

Liangwei Wang, Jingxue Yin · Abstract and Applied Analysis · 2012

We investigate the asymptotic behavior of solutions for the heat equation in the weighted space . Exactly, we find that the unbounded function space with 0 < σ < N can provide a setting where complexity occurs in the asymptotic behavior of solutions for the heat equation.

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