The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations
Through applying Galerkin method, we establish the approximating solution for one-dimension Klein-Gordon-Zakharov equations and obtain the local classical solution. By applying integral estimates, we also obtain the existence and uniqueness of the global classical solution of Klein-Gordon-Zakharov e...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/4820601 |
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| author | Cong Sun Lixia Li |
| author_facet | Cong Sun Lixia Li |
| author_sort | Cong Sun |
| collection | DOAJ |
| description | Through applying Galerkin method, we establish the approximating solution for one-dimension Klein-Gordon-Zakharov equations and obtain the local classical solution. By applying integral estimates, we also obtain the existence and uniqueness of the global classical solution of Klein-Gordon-Zakharov equations. |
| format | Article |
| id | doaj-art-b9e21e4c17c14c4d9997858342160ae6 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-b9e21e4c17c14c4d9997858342160ae62025-02-03T01:26:24ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/48206014820601The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov EquationsCong Sun0Lixia Li1School of Applied Mathematics, Jilin University of Finance and Economics, Changchun, Jilin 130117, ChinaCollege of Mathematics and Physics, Bohai University, Liaoning 121013, ChinaThrough applying Galerkin method, we establish the approximating solution for one-dimension Klein-Gordon-Zakharov equations and obtain the local classical solution. By applying integral estimates, we also obtain the existence and uniqueness of the global classical solution of Klein-Gordon-Zakharov equations.http://dx.doi.org/10.1155/2018/4820601 |
| spellingShingle | Cong Sun Lixia Li The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations Advances in Mathematical Physics |
| title | The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations |
| title_full | The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations |
| title_fullStr | The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations |
| title_full_unstemmed | The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations |
| title_short | The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations |
| title_sort | global existence and uniqueness of the classical solution with the periodic initial value problem for one dimension klein gordon zakharov equations |
| url | http://dx.doi.org/10.1155/2018/4820601 |
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