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

被引：0
作者：
Pengyu Chen
Yongxiang Li
Hongxia Fan
机构：
[1] Northwest Normal University,Department of Mathematics
[2] Lanzhou Jiaotong University,Department of Mathematics
来源：
Advances in Difference Equations | / 2012卷
关键词：
evolution equation; nonlocal initial condition; strong solution; analytic semigroups; existence;
D O I：
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学科分类号：
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.
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