Complicated asymptotic behavior of solutions for heat equation in some weighted space (Q448702)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Complicated asymptotic behavior of solutions for heat equation in some weighted space |
scientific article; zbMATH DE number 6078739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complicated asymptotic behavior of solutions for heat equation in some weighted space |
scientific article; zbMATH DE number 6078739 |
Statements
Complicated asymptotic behavior of solutions for heat equation in some weighted space (English)
0 references
7 September 2012
0 references
Summary: We investigate the asymptotic behavior of solutions for the heat equation in the weighted space \(Y^\sigma_0(\mathbb R^N) \equiv \{\varphi \in C(\mathbb R^N) : \lim_{|x| \rightarrow \infty}(1 + |x|^2)^{-\sigma/2} \varphi(x) = 0\}\). Exactly, we find that the unbounded function space \(Y^\sigma_0(\mathbb R^N)\) with \(0 < \sigma < N\) can provide a setting where complexity occurs in the asymptotic behavior of solutions for the heat equation.
0 references
0 references
0 references
0 references
0 references
0.90982145
0 references
0.90896475
0 references
0.9028454
0 references
0.9002089
0 references
0.90000224
0 references
0.89626783
0 references
0.8950194
0 references
0.8946373
0 references
