Error estimates for solutions of the semilinear parabolic equation in whole space
type: Item
instance of: scholarly article
title: Error estimates for solutions of the semilinear parabolic equation in whole space
zbMATH Open document ID: 1470.35217
DOI: 10.1155/2014/501280
author: Xiaomei Hu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial data \(u_0 \in L^2(\mathbb{R}^3)\). Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution of the semilinear parabolic equation and that of linear heat equation has the behavior as \(O((1 + t)^{- 3 / 8})\).
Mathematics Subject Classification ID: 35K91
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 7022496
Wikidata QID: Q59038822
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/501280
OpenAlex ID: W2171983253
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description: scientific article; zbMATH DE number 7022496