On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory
We obtain the existence of a weak solution to a fractional nonlinear hyperbolic equation arising from relative theory by the Galerkin method. Its uniqueness is also discussed. Furthermore, we show the regularity of the obtained solution. In our proof, we use harmonic analysis techniques and compactn...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/548562 |
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| _version_ | 1832565750508814336 |
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| author | Zujin Zhang Xiaofeng Wang Zheng-an Yao |
| author_facet | Zujin Zhang Xiaofeng Wang Zheng-an Yao |
| author_sort | Zujin Zhang |
| collection | DOAJ |
| description | We obtain the existence of a weak solution to a fractional nonlinear hyperbolic equation arising from relative theory by the Galerkin method. Its uniqueness is also discussed. Furthermore, we show the regularity of the obtained solution. In our proof, we use harmonic analysis techniques and compactness arguments. |
| format | Article |
| id | doaj-art-e64f01402c534b12a8ad8ad0ef40c294 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e64f01402c534b12a8ad8ad0ef40c2942025-02-03T01:06:52ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/548562548562On a Fractional Nonlinear Hyperbolic Equation Arising from Relative TheoryZujin Zhang0Xiaofeng Wang1Zheng-an Yao2School of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, ChinaCollege of Mathematics, Guangzhou University, Guangzhou 510006, ChinaDepartment of Mathematics, Sun Yat-sen University, Guangzhou 510275, ChinaWe obtain the existence of a weak solution to a fractional nonlinear hyperbolic equation arising from relative theory by the Galerkin method. Its uniqueness is also discussed. Furthermore, we show the regularity of the obtained solution. In our proof, we use harmonic analysis techniques and compactness arguments.http://dx.doi.org/10.1155/2013/548562 |
| spellingShingle | Zujin Zhang Xiaofeng Wang Zheng-an Yao On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory Abstract and Applied Analysis |
| title | On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory |
| title_full | On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory |
| title_fullStr | On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory |
| title_full_unstemmed | On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory |
| title_short | On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory |
| title_sort | on a fractional nonlinear hyperbolic equation arising from relative theory |
| url | http://dx.doi.org/10.1155/2013/548562 |
| work_keys_str_mv | AT zujinzhang onafractionalnonlinearhyperbolicequationarisingfromrelativetheory AT xiaofengwang onafractionalnonlinearhyperbolicequationarisingfromrelativetheory AT zhenganyao onafractionalnonlinearhyperbolicequationarisingfromrelativetheory |