Existence and regularity of mild solutions in some interpolation spaces for functional partial differential equations with nonlocal initial conditions-Reference-Cited by-同舟云学术

Existence and regularity of mild solutions in some interpolation spaces for functional partial differential equations with nonlocal initial conditions

Published:2018-01-01 Issue:1 Volume:16 Page:113-126
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Zhang Xuping¹,Chen Qiyu²,Li Yongxiang¹

Affiliation:

1. Department of Mathematics , Northwest Normal University , Lanzhou , 730070 , China

2. School of Computer Science , China University of Geosciences , Wuhan , 430074 , China

Abstract

Abstract This paper is devoted to study the existence and regularity of mild solutions in some interpolation spaces for a class of functional partial differential equations with nonlocal initial conditions. The linear part is assumed to be a sectorial operator in Banach space X. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can be applied to equations with terms involving spatial derivatives. Moreover, we present an example to illustrate the application of main results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2018-0012/pdf

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