Existence and uniqueness of strong solutions for nonlocal evolution equations

The aim of this article is to study the existence and uniqueness of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. The discussions are based on analytic semigroup theory and fixed point theorems. An example illustrates the main results.

Bibliographic Details
Main Authors:	Pengyu Chen, Yongxiang Li
Format:	Article
Language:	English
Published:	Texas State University 2014-01-01
Series:	Electronic Journal of Differential Equations
Subjects:	Evolution equation nonlocal initial condition strong solution analytic semigroups existence and uniqueness
Online Access:	http://ejde.math.txstate.edu/Volumes/2014/18/abstr.html

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spelling	doaj-96972f757872468a8778db72d55ce03d2020-11-24T22:25:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-01-01201418,19Existence and uniqueness of strong solutions for nonlocal evolution equationsPengyu Chen0Yongxiang Li1 Northwest Normal Univ., Lanzhou, China Northwest Normal Univ., Lanzhou, China The aim of this article is to study the existence and uniqueness of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. The discussions are based on analytic semigroup theory and fixed point theorems. An example illustrates the main results.http://ejde.math.txstate.edu/Volumes/2014/18/abstr.htmlEvolution equationnonlocal initial conditionstrong solutionanalytic semigroupsexistence and uniqueness
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pengyu Chen Yongxiang Li
spellingShingle	Pengyu Chen Yongxiang Li Existence and uniqueness of strong solutions for nonlocal evolution equations Electronic Journal of Differential Equations Evolution equation nonlocal initial condition strong solution analytic semigroups existence and uniqueness
author_facet	Pengyu Chen Yongxiang Li
author_sort	Pengyu Chen
title	Existence and uniqueness of strong solutions for nonlocal evolution equations
title_short	Existence and uniqueness of strong solutions for nonlocal evolution equations
title_full	Existence and uniqueness of strong solutions for nonlocal evolution equations
title_fullStr	Existence and uniqueness of strong solutions for nonlocal evolution equations
title_full_unstemmed	Existence and uniqueness of strong solutions for nonlocal evolution equations
title_sort	existence and uniqueness of strong solutions for nonlocal evolution equations
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2014-01-01
description	The aim of this article is to study the existence and uniqueness of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. The discussions are based on analytic semigroup theory and fixed point theorems. An example illustrates the main results.
topic	Evolution equation nonlocal initial condition strong solution analytic semigroups existence and uniqueness
url	http://ejde.math.txstate.edu/Volumes/2014/18/abstr.html
work_keys_str_mv	AT pengyuchen existenceanduniquenessofstrongsolutionsfornonlocalevolutionequations AT yongxiangli existenceanduniquenessofstrongsolutionsfornonlocalevolutionequations
_version_	1725758818266120192

Existence and uniqueness of strong solutions for nonlocal evolution equations

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