Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2011
• Автори: Bozhkov, Y., Olver, P.J.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2011
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147176
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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.