Ka. Ames et Le. Payne, CONTINUOUS DEPENDENCE ON INITIAL-TIME GEOMETRY FOR A THERMOELASTIC SYSTEM WITH SIGN-INDEFINITE ELASTICITIES, Journal of mathematical analysis and applications, 189(3), 1995, pp. 693-714
Continuous dependence of the solution to the equations of dynamical li
near thermoelasticity on the initial-time geometry is investigated. Us
ing a Lagrange identity method and assuming only the major symmetry on
the elasticities, but no sign-definiteness, we derive inequalities es
tablishing that appropriately constrained solutions depend Holder cont
inuously on perturbations of the initial geometry. (C) 1995 Academic P
ress, Inc.