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On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-19
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
This paper studies the blow-up and existence, and asymptotic behaviors of the solution of a nonlinear hyperbolic equation with dissipative and source terms.
By using Galerkin procedure and the perturbed energy method, the local and global existence of solution is established.
In addition, by the concave method, the blow-up of solutions can be obtained.
American Psychological Association (APA)
Liu, Xiaopan. 2012. On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-485322
Modern Language Association (MLA)
Liu, Xiaopan. On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source. Abstract and Applied Analysis No. 2012 (2012), pp.1-27.
https://search.emarefa.net/detail/BIM-485322
American Medical Association (AMA)
Liu, Xiaopan. On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-485322
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485322