On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation
It is shown that if u is a sufficiently smooth solution to a two-dimensional nonlinear wave equation such that there exists L>0 with supp u(i)⊆[−L,L]×[−L,L], for i=0,1, then u≡0.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/578094 |
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| _version_ | 1832550225142611968 |
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| author | Wenbin Zhang Jiangbo Zhou Lixin Tian Sunil Kumar |
| author_facet | Wenbin Zhang Jiangbo Zhou Lixin Tian Sunil Kumar |
| author_sort | Wenbin Zhang |
| collection | DOAJ |
| description | It is shown that if u is a sufficiently smooth solution to a two-dimensional nonlinear wave equation such that there exists L>0 with supp u(i)⊆[−L,L]×[−L,L], for i=0,1, then u≡0. |
| format | Article |
| id | doaj-art-88f779d89b364f98a1c242c8fbd5e1c4 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-88f779d89b364f98a1c242c8fbd5e1c42025-02-03T06:07:18ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/578094578094On the Support of Solutions to a Two-Dimensional Nonlinear Wave EquationWenbin Zhang0Jiangbo Zhou1Lixin Tian2Sunil Kumar3Taizhou Institute of Science and Technology, NUST, Taizhou, Jiangsu 225300, ChinaNonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaNonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaDepartment of Mathematics, National Institute of Technology, Jamshedpur, Jharkhand 831014, IndiaIt is shown that if u is a sufficiently smooth solution to a two-dimensional nonlinear wave equation such that there exists L>0 with supp u(i)⊆[−L,L]×[−L,L], for i=0,1, then u≡0.http://dx.doi.org/10.1155/2013/578094 |
| spellingShingle | Wenbin Zhang Jiangbo Zhou Lixin Tian Sunil Kumar On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation Journal of Mathematics |
| title | On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation |
| title_full | On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation |
| title_fullStr | On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation |
| title_full_unstemmed | On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation |
| title_short | On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation |
| title_sort | on the support of solutions to a two dimensional nonlinear wave equation |
| url | http://dx.doi.org/10.1155/2013/578094 |
| work_keys_str_mv | AT wenbinzhang onthesupportofsolutionstoatwodimensionalnonlinearwaveequation AT jiangbozhou onthesupportofsolutionstoatwodimensionalnonlinearwaveequation AT lixintian onthesupportofsolutionstoatwodimensionalnonlinearwaveequation AT sunilkumar onthesupportofsolutionstoatwodimensionalnonlinearwaveequation |