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

Autor:	Zhang Xuping, Chen Qiyu, Li Yongxiang
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	functional partial differential equation nonlocal condition strong solution analytic compact semigroup fractional power operator α-norm 34g20 34k30 35d35 Mathematics QA1-939
Zdroj:	Open Mathematics, Vol 16, Iss 1, Pp 113-126 (2018)
Druh dokumentu:	article
ISSN:	2391-5455 2018-0012
DOI:	10.1515/math-2018-0012
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/bcc7285fac054246a22377f5fbc65e86 Zobrazit plný text záznamu View record in DOAJ