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Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Інший ID:
2010 Mathematics Subject Classification: 35J50; 35J47; 35L51
DOI:10.3842/SIGMA.2011.055
DOI:10.3842/SIGMA.2011.055
Посилання:
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics / Y. Bozhkov, P.J. Olver // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 31 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S⁴)”. The full collection is available at http://www.emis.de/journals/SIGMA/S4.html.
We wish to thank the referees for their useful suggestions. Yuri Bozhkov would also like to thank FAPESP and CNPq, Brasil, for partial financial support. Peter Olver was supported in part by NSF Grant DMS 08–07317. We both would like to thank FAPESP, S˜ao Paulo, Brasil, for the grant giving Peter Olver the opportunity to visit IMECC-UNICAMP, where this work was initiated.
Дата:
2011
Переглядів:
584
Завантажень:
268
Анотація:
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.
