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

被引：99

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

页码：1613 / 1622

页数：10

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