On the Weak Solution to a Fractional Nonlinear Schrödinger Equation
We obtain the existence of a global weak solution to a fractional nonlinear Schrödinger equation by the Galerkin method. Its uniqueness is also discussed. In our proof, we use harmonic analysis techniques and compactness arguments.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/569693 |
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| _version_ | 1832560420261462016 |
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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 global weak
solution to a fractional nonlinear Schrödinger equation
by the Galerkin method. Its uniqueness is also discussed.
In our proof, we use harmonic analysis techniques and compactness arguments. |
| format | Article |
| id | doaj-art-e2353cbf2db645c8b412a40e1731bfb0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e2353cbf2db645c8b412a40e1731bfb02025-02-03T01:27:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/569693569693On the Weak Solution to a Fractional Nonlinear Schrödinger EquationZujin 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 global weak solution to a fractional nonlinear Schrödinger equation by the Galerkin method. Its uniqueness is also discussed. In our proof, we use harmonic analysis techniques and compactness arguments.http://dx.doi.org/10.1155/2014/569693 |
| spellingShingle | Zujin Zhang Xiaofeng Wang Zheng-an Yao On the Weak Solution to a Fractional Nonlinear Schrödinger Equation Abstract and Applied Analysis |
| title | On the Weak Solution to a Fractional Nonlinear Schrödinger Equation |
| title_full | On the Weak Solution to a Fractional Nonlinear Schrödinger Equation |
| title_fullStr | On the Weak Solution to a Fractional Nonlinear Schrödinger Equation |
| title_full_unstemmed | On the Weak Solution to a Fractional Nonlinear Schrödinger Equation |
| title_short | On the Weak Solution to a Fractional Nonlinear Schrödinger Equation |
| title_sort | on the weak solution to a fractional nonlinear schrodinger equation |
| url | http://dx.doi.org/10.1155/2014/569693 |
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