Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics

[摘要] 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.

[关键词] Pohozhaev identity;Navier’s equations;Noether’s theorem