Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
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.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147176 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862658911073468416 |
|---|---|
| author | Bozhkov, Y. Olver, P.J. |
| author_facet | Bozhkov, Y. Olver, P.J. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-12-02T09:08:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147176 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T09:08:01Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bozhkov, Y. Olver, P.J. 2019-02-13T18:13:38Z 2019-02-13T18:13:38Z 2011 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. 1815-0659 2010 Mathematics Subject Classification: 35J50; 35J47; 35L51 DOI:10.3842/SIGMA.2011.055 https://nasplib.isofts.kiev.ua/handle/123456789/147176 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics Article published earlier |
| spellingShingle | Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics Bozhkov, Y. Olver, P.J. |
| title | Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics |
| title_full | Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics |
| title_fullStr | Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics |
| title_full_unstemmed | Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics |
| title_short | Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics |
| title_sort | pohozhaev and morawetz identities in elastostatics and elastodynamics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147176 |
| work_keys_str_mv | AT bozhkovy pohozhaevandmorawetzidentitiesinelastostaticsandelastodynamics AT olverpj pohozhaevandmorawetzidentitiesinelastostaticsandelastodynamics |