Maximal regularity for perturbed integral equations on periodic Lebesgue spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:348

Article

Lizama, Carlos¹  Poblete, Veronica¹ 

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

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

DOI  :  10.1016/j.jmaa.2008.07.075

来源: Elsevier

【 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.

【 授权许可】

Free