Abstract
This paper establishes a result of Saint–Venant type for the solutions of the initial boundary-value problems of incremental elastodynamics. Such a result is used to study the uniqueness and continuous data dependence of solutions. Both the cases of bounded and unbounded bodies are discussed. One characteristic feature of the uniqueness and continuous dependence results for unbounded bodies is that they are established without any a priori artificial conditions concerning the growth of solutions at infinity.
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