Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials
This paper is concerned with the nonlinear Klein-Gordon equation with damping term and nonnegative potentials. We introduce a family of potential wells and discuss the invariant sets and vacuum isolating behavior of solutions. Using the potential well argument, we obtain a new existence theorem of g...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/142892 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849691889392943104 |
|---|---|
| author | Wen-Yi Huang Wen-Li Chen |
| author_facet | Wen-Yi Huang Wen-Li Chen |
| author_sort | Wen-Yi Huang |
| collection | DOAJ |
| description | This paper is concerned with the nonlinear Klein-Gordon equation with damping term and
nonnegative potentials. We introduce a family of potential wells and discuss the invariant sets and vacuum
isolating behavior of solutions. Using the potential well argument, we obtain a new existence theorem of
global solutions and a blow-up result for solutions in finite time. |
| format | Article |
| id | doaj-art-b3bf853104ee4d0d807246d7c6fde2ff |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b3bf853104ee4d0d807246d7c6fde2ff2025-08-20T03:20:54ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/142892142892Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative PotentialsWen-Yi Huang0Wen-Li Chen1Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaCollege of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, ChinaThis paper is concerned with the nonlinear Klein-Gordon equation with damping term and nonnegative potentials. We introduce a family of potential wells and discuss the invariant sets and vacuum isolating behavior of solutions. Using the potential well argument, we obtain a new existence theorem of global solutions and a blow-up result for solutions in finite time.http://dx.doi.org/10.1155/2014/142892 |
| spellingShingle | Wen-Yi Huang Wen-Li Chen Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials Abstract and Applied Analysis |
| title | Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials |
| title_full | Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials |
| title_fullStr | Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials |
| title_full_unstemmed | Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials |
| title_short | Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials |
| title_sort | global existence and blow up of solutions for nonlinear klein gordon equation with damping term and nonnegative potentials |
| url | http://dx.doi.org/10.1155/2014/142892 |
| work_keys_str_mv | AT wenyihuang globalexistenceandblowupofsolutionsfornonlinearkleingordonequationwithdampingtermandnonnegativepotentials AT wenlichen globalexistenceandblowupofsolutionsfornonlinearkleingordonequationwithdampingtermandnonnegativepotentials |