Global Nonexistence of Solutions for Viscoelastic Wave Equations of Kirchhoff Type with High Energy
Joint Authors
Hong, Linghui
Li, Gang
Liu, Wenjun
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider viscoelastic wave equations of the Kirchhoff type utt-M(∥∇u∥22)Δu+∫0tg(t-s)Δu(s)ds+ut=|u|p-1u with Dirichlet boundary conditions, where ∥⋅∥p denotes the norm in the Lebesgue space Lp.
Under some suitable assumptions on g and the initial data, we establish a global nonexistence result for certain solutions with arbitrarily high energy, in the sense that limt→T*-(∥u(t)∥22+∫0t∥u(s)∥22ds)=∞ for some 0
American Psychological Association (APA)
Li, Gang& Hong, Linghui& Liu, Wenjun. 2012. Global Nonexistence of Solutions for Viscoelastic Wave Equations of Kirchhoff Type with High Energy. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-479125
Modern Language Association (MLA)
Li, Gang…[et al.]. Global Nonexistence of Solutions for Viscoelastic Wave Equations of Kirchhoff Type with High Energy. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-479125
American Medical Association (AMA)
Li, Gang& Hong, Linghui& Liu, Wenjun. Global Nonexistence of Solutions for Viscoelastic Wave Equations of Kirchhoff Type with High Energy. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-479125
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479125