Pseudo almost periodic solutions for some parabolic evolution equations with Stepanov-like pseudo almost periodic forcing terms

被引：13

作者：

Baroun, Mahmoud ^{[1
]}

Ezzinbi, Khalil ^{[1
]}

Khalil, Kamal ^{[1
]}

Maniar, Lahcen ^{[1
]}

机构：

[1] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Math, BP 2930-40000, Marrakech, Morocco

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 462卷 / 01期

关键词：

Parabolic evolution equations; Hyperbolic semigroups; Extrapolation and interpolation; spaces; mu-Pseudo almost periodic functions; DIFFERENTIAL-EQUATIONS; AUTOMORPHIC SOLUTIONS;

D O I：

10.1016/j.jmaa.2018.01.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to study the existence and uniqueness of mu-pseudo almost periodic solutions to a class of semilinear parabolic evolution equations with inhomogeneous boundary conditions, under the assumption that the forcing terms of the equation are it mu-pseudo almost periodic in the sense of Stepanov. We also provide a new composition result of mu-pseudo almost periodic functions in the sense of Stepanov. An example is given for illustration. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：233 / 262

页数：30

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