On the support of solutions to a two-dimensional nonlinear wave equation

Wenbin Zhang; Jiangbo Zhou; Lixin Tian; Sunil Kumar

doi:10.1155/2013/578094

On the support of solutions to a two-dimensional nonlinear wave equation

Wenbin Zhang
, Jiangbo Zhou
, Lixin Tian
, Sunil Kumar

Nanjing University of Science and Technology
Jiangsu University
National Institute of Technology Jamshedpur

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	578094
Journal	Journal of Mathematics
Volume	2013
DOIs	https://doi.org/10.1155/2013/578094
State	Published - 2013
Externally published	Yes

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title = "On the support of solutions to a two-dimensional nonlinear wave equation",

abstract = "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.",

author = "Wenbin Zhang and Jiangbo Zhou and Lixin Tian and Sunil Kumar",

note = "Publisher Copyright: {\textcopyright} 2013 Wenbin Zhang et al.",

year = "2013",

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language = "English",

volume = "2013",

journal = "Journal of Mathematics",

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T1 - On the support of solutions to a two-dimensional nonlinear wave equation

AU - Zhang, Wenbin

AU - Zhou, Jiangbo

AU - Tian, Lixin

AU - Kumar, Sunil

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85014223219

U2 - 10.1155/2013/578094

DO - 10.1155/2013/578094

M3 - Article

AN - SCOPUS:85014223219

SN - 2314-4629

VL - 2013

JO - Journal of Mathematics

JF - Journal of Mathematics

M1 - 578094

ER -

On the support of solutions to a two-dimensional nonlinear wave equation

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