This article is cited in 3 papers

Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics

Yuri Bozhkov^a, Peter J. Olver<sup>b

a</sup> Instituto de Matemática, Estatistica e Computação Científica – IMECC
^b School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA

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.

MSC: 35J50; 35J47; 35L51

Received: February 1, 2011; in final form June 2, 2011; Published online June 8, 2011

Language: English

DOI: 10.3842/SIGMA.2011.055

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ArXiv: 1106.1495