Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations
This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by us...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
|
| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/2007/19685 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554557518905344 |
|---|---|
| author | Yaojun Ye |
| author_facet | Yaojun Ye |
| author_sort | Yaojun Ye |
| collection | DOAJ |
| description | This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality. |
| format | Article |
| id | doaj-art-36489d1efb1b4dd7892f3cbd898ec1a8 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-36489d1efb1b4dd7892f3cbd898ec1a82025-02-03T05:51:04ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022007-01-01200710.1155/2007/1968519685Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave EquationsYaojun Ye0Department of Information and Computational Science, Henan Agricultural University, Zhengzhou 450002, ChinaThis paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality.http://dx.doi.org/10.1155/2007/19685 |
| spellingShingle | Yaojun Ye Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations Differential Equations and Nonlinear Mechanics |
| title | Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations |
| title_full | Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations |
| title_fullStr | Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations |
| title_full_unstemmed | Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations |
| title_short | Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations |
| title_sort | global existence and asymptotic behavior of solutions for a class of nonlinear degenerate wave equations |
| url | http://dx.doi.org/10.1155/2007/19685 |
| work_keys_str_mv | AT yaojunye globalexistenceandasymptoticbehaviorofsolutionsforaclassofnonlineardegeneratewaveequations |