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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-88f779d89b364f98a1c242c8fbd5e1c42020-11-24T23:20:08ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wenbin Zhang Jiangbo Zhou Lixin Tian Sunil Kumar |
| spellingShingle |
Wenbin Zhang Jiangbo Zhou Lixin Tian Sunil Kumar On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation Journal of Mathematics |
| author_facet |
Wenbin Zhang Jiangbo Zhou Lixin Tian Sunil Kumar |
| author_sort |
Wenbin Zhang |
| title |
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_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_sort |
on the support of solutions to a two-dimensional nonlinear wave equation |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4629 2314-4785 |
| publishDate |
2013-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2013/578094 |
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AT wenbinzhang onthesupportofsolutionstoatwodimensionalnonlinearwaveequation AT jiangbozhou onthesupportofsolutionstoatwodimensionalnonlinearwaveequation AT lixintian onthesupportofsolutionstoatwodimensionalnonlinearwaveequation AT sunilkumar onthesupportofsolutionstoatwodimensionalnonlinearwaveequation |
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1725575884923994112 |