Global solutions of semilinear heat equations in Hilbert spaces
type: Item
instance of: scholarly article
title: Global solutions of semilinear heat equations in Hilbert spaces
zbMATH Open document ID: 0932.47038
DOI: 10.1155/S1085337596000139
author: G. M. Iancu
author: M. W. Wong
published in: Abstract and Applied Analysis
publication date: 1999-11-25T00:00:00Z
full work available at URL: https://eudml.org/doc/48351
full work available at URL: issue-3.html
review text: Summary: The existence, uniqueness, regularity and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of one-parameter strongly continuous semigroups of bounded linear operators. Applications to special semilinear heat equations in \(L^2(\mathbb{R}^n)\) governed by pseudodifferential operators are given.
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 1370659
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: regularity
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: global solutions of semilinear heat equations
zbMATH Keywords: one-parameter strongly continuous semigroups
zbMATH Keywords: pseudodifferential operators
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1370659