Maximal regularity for perturbed integral equations on periodic Lebesgue spaces

被引：8

作者：

Lizama, Carlos ^{[1
]}

Poblete, Veronica ^{[1
]}

机构：

[1] Univ Santiago Chile, Dept Matemat, Fac Ciencias, Santiago, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 348卷 / 02期

关键词：

additive perturbation; maximal regularity; R-boundedness; Fourier multipliers; integral equations; periodic solutions;

D O I：

10.1016/j.jmaa.2008.07.075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the maximal regularity of periodic solutions for an additive perturbed integral equation with infinite delay in the vector-valued Lebesgue spaces. Our method is based on operator-valued Fourier multipliers. We also study resonances, characterizing the existence of solutions in terms of a compatibility condition on the forcing term. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：775 / 786

页数：12

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