Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data
Joint Authors
Duan, Yonghong
Hu, Chunlei
Chai, Xiaojuan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper is concerned with the asymptotic behavior of solutions to reaction-diffusion equations with dynamic boundary conditions as well as L1-initial data and forcing terms.
We first prove the existence and uniqueness of an entropy solution by smoothing approximations.
Then we consider the large-time behavior of the solution.
The existence of a global attractor for the solution semigroup is obtained in L1(Ω¯,dν).
This extends the corresponding results in the literatures.
American Psychological Association (APA)
Duan, Yonghong& Hu, Chunlei& Chai, Xiaojuan. 2018. Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152840
Modern Language Association (MLA)
Duan, Yonghong…[et al.]. Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1152840
American Medical Association (AMA)
Duan, Yonghong& Hu, Chunlei& Chai, Xiaojuan. Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152840
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152840
