On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source
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 con...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/615345 |
| id |
doaj-d252df30f430458aa64fb199629179e2 |
|---|---|
| record_format |
Article |
| spelling |
doaj-d252df30f430458aa64fb199629179e22020-11-24T20:48:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/615345615345On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and SourceXiaopan Liu0Department of Mathematics, Southeast University, Nanjing 210018, ChinaThis 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.http://dx.doi.org/10.1155/2012/615345 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xiaopan Liu |
| spellingShingle |
Xiaopan Liu On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source Abstract and Applied Analysis |
| author_facet |
Xiaopan Liu |
| author_sort |
Xiaopan Liu |
| title |
On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source |
| title_short |
On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source |
| title_full |
On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source |
| title_fullStr |
On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source |
| title_full_unstemmed |
On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source |
| title_sort |
on existence, uniform decay rates, and blow-up for solutions of a nonlinear wave equation with dissipative and source |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2012/615345 |
| work_keys_str_mv |
AT xiaopanliu onexistenceuniformdecayratesandblowupforsolutionsofanonlinearwaveequationwithdissipativeandsource |
| _version_ |
1716807487813844992 |