Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions

被引：5

作者：

Chen, Pengyu ^{[1
]}

Li, Yongxiang ^{[1
]}

Fan, Hongxia ^{[1
,2
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

evolution equation; nonlocal initial condition; strong solution; analytic semigroups; existence; INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEMS; OPERATORS;

D O I：

10.1186/1687-1847-2012-79

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions in Hilbert spaces. The discussion is based on analytic semigroups theory and fixed point theorem. An application to a partial differential equation with nonlocal condition is also considered. Mathematics Subject Classification(2010): 34G20; 34K30; 35D35; 47D06.

引用

页码：1 / 9

页数：9

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