Existence of mild solutions for semilinear evolution equations with non-local initial conditions
type: Item
instance of: scholarly article
title: Existence of mild solutions for semilinear evolution equations with non-local initial conditions
zbMATH Open document ID: 1179.34063
author: Qing Liu
author: Rong Yuan
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-07-10T00:00:00Z
review text: The authors study the existence of mild solutions for a class of semilinear evolution equations with nonlocal initial conditions. They mainly suppose that the nonlocal term \(g\) is continuous or depends only on the value of \(u\) in the interval \([\epsilon, T]\), where \(\epsilon\) is small enough.
reviewed by: Zhenbin Fan
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 5577481
zbMATH Keywords: nonlocal initial condition
zbMATH Keywords: mild solutions
zbMATH Keywords: semilinear evolution equation
zbMATH Keywords: compact semigroup
MaRDI profile type: Publication
full work available at URL: j.na.2009.02.093
OpenAlex ID: W2092115443
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DOI: 10.1016/J.NA.2009.02.093
description: scientific article; zbMATH DE number 5577481