On uniqueness for the displacement problem in the dynamical theory of elasticity

✍ Scribed by Remigio Russo

• Publisher: Springer Netherlands
• Year: 1985
• Tongue: English
• Weight: 265 KB
• Volume: 15
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041986

✦ Synopsis

By means of a weighted form of Garding's inequality, we prove a uniqueness theorem for the initial boundary value problem of finite elastodynamics in unbounded domains.

Sommario

Mediante un'opportuna forma pesata della disuguaglianza di Garding, che ricaviamo preliminarmente, dimostriamo un teorema di unicith per il problema degli spostamenti in elastodinamica non lineare relativo a corpi occupanti regioni non limitate dello spazio.

* Cm(G), with G _ E ×[0, + ~), stands for the set of scalar functions defined on G and within this domain differentiable up to the order m inclusive.

** From now on the letter C will stand for a constant, not necessarily the same in each occurrence. We want to remark that C may depend on t.