Existence and regularity in the α-norm for some neutral partial differential equations with nonlocal conditions

被引：100
作者：
Ezzinbi, Khalil
Fu, Xianlong
Hilal, Khalid
机构：
[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco
[2] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[3] Univ Cadi Ayyad, Fac Sci & Tech Beni Mellal, Dept Math, Beni Mellal, Morocco
[4] Abdus Salam Int Ctr Theoret Phys, ICTP, Trieste, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 05期
关键词：
analytic semigroup; fractional power; neutral partial differential equation; mild solution; strict solution;
D O I：
10.1016/j.na.2006.08.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we discuss the existence and regularity of solutions for some partial differential equations with nonlocal conditions in the alpha-norm. We assume that the linear part generates an analytic semigroup and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1613 / 1622
页数：10
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