Hölder continuous dependence and uniqueness results for incremental elastodynamics (Q1073603)

In this paper the author proves the Hölder continuous dependence of the initial boundary-value problems of incremental elastodynamics upon the body force and initial data on exterior unbounded domains. It is assumed that the elasticity tensor is a function of position and time. The results presented imply also the uniqueness and the continuous dependence of the solution on the elasticities. Proofs are based on a suitable coupling of the logarithmic convexity and weight function methods.