Antiperiodic Problems for Nonautonomous Parabolic Evolution Equations
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This work focuses on the antiperiodic problem of nonautonomous semilinear parabolic evolution equation in the form u′(t)=A(t)u(t)+f(t,u(t)), t∈R, u(t+T)=-u(t), t∈R, where (At)t∈R (possibly unbounded), depending on time, is a family of closed and densely defined linear operators on a Banach space X.
Upon making some suitable assumptions such as the Acquistapace and Terreni conditions and exponential dichotomy on (At)t∈R, we obtain the existence results of antiperiodic mild solutions to such problem.
The antiperiodic problem of nonautonomous semilinear parabolic evolution equation of neutral type is also considered.
As sample of application, these results are applied to, at the end of the paper, an antiperiodic problem for partial differential equation, whose operators in the linear part generate an evolution family of exponential stability.
American Psychological Association (APA)
Wang, R. N.& Zhou, Yong. 2014. Antiperiodic Problems for Nonautonomous Parabolic Evolution Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013591
Modern Language Association (MLA)
Wang, R. N.& Zhou, Yong. Antiperiodic Problems for Nonautonomous Parabolic Evolution Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013591
American Medical Association (AMA)
Wang, R. N.& Zhou, Yong. Antiperiodic Problems for Nonautonomous Parabolic Evolution Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013591
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013591