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Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A plate equation with a memory term and a time delay term in the internal feedback is investigated.
Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin approximations and some energy estimates.
Moreover, by using energy perturbation method, we prove a general decay result of the energy provided that the weight of the delay is less than the weight of the damping.
American Psychological Association (APA)
Feng, Baowei. 2015. Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074205
Modern Language Association (MLA)
Feng, Baowei. Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1074205
American Medical Association (AMA)
Feng, Baowei. Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074205
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074205