S. Chirita et L. Nappa, EFFECTS OF SAINT-VENANT TYPE AND UNIQUENESS AND CONTINUOUS DEPENDENCERESULTS FOR INCREMENTAL ELASTODYNAMICS, International journal of non-linear mechanics, 34(1), 1999, pp. 159-167
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 dep
endence of solutions. Both the cases of bounded and unbounded bodies a
re discussed. One characteristic feature of the uniqueness and continu
ous dependence results for unbounded bodies is that they are establish
ed without any a priori artificial conditions concerning the growth of
solutions at infinity. (C) 1998 Elsevier Science Ltd. All rights rese
rved.