Attractors for a Class of Abstract Evolution Equations with Fading Memory
Joint Authors
Wang, Xuan
Duan, Fenxia
Hu, Didi
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-14
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this paper, we study the dynamics of an abstract evolution equation with fading memory with a critical growing nonlinearity.
By use of some new methods and asymptotic estimate techniques, we first verify the asymptotic compact of solution semigroup and then prove the existence of global attractors in weak topological space and strong topological space, while the forcing term only belongs to H-1(Ω) or L2(Ω), respectively.
The results are new and appear to be optimal.
American Psychological Association (APA)
Wang, Xuan& Duan, Fenxia& Hu, Didi. 2017. Attractors for a Class of Abstract Evolution Equations with Fading Memory. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1189523
Modern Language Association (MLA)
Wang, Xuan…[et al.]. Attractors for a Class of Abstract Evolution Equations with Fading Memory. Mathematical Problems in Engineering No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1189523
American Medical Association (AMA)
Wang, Xuan& Duan, Fenxia& Hu, Didi. Attractors for a Class of Abstract Evolution Equations with Fading Memory. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1189523
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189523