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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 055, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.055 (Mi sigma613) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics

Yuri Bozhkova, Peter J. Olverb

a Instituto de Matemática, Estatistica e Computação Científica – IMECC
b School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Full-text PDF (325 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2011.055
Abstract: We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established.
Keywords: Pohozhaev identity; Navier's equations; Noether's theorem.
Received: February 1, 2011; in final form June 2, 2011; Published online June 8, 2011
Bibliographic databases:
Document Type: Article
MSC: 35J50; 35J47; 35L51
Language: English
Citation: Yuri Bozhkov, Peter J. Olver, “Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics”, SIGMA, 7 (2011), 055, 9 pp.
Citation in format AMSBIB
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