Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Bozhkov, Y., Olver, P.J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147176
• 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.

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.