Complicated asymptotic behavior of solutions for heat equation in some weighted space
type: Item
instance of: scholarly article
title: Complicated asymptotic behavior of solutions for heat equation in some weighted space
zbMATH Open document ID: 1247.35054
DOI: 10.1155/2012/463082
author: Liangwei Wang
author: Jingxue Yin
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6078739
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/463082
OpenAlex ID: W2138167963
Wikidata QID: Q58695237
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description: scientific article; zbMATH DE number 6078739