Continuous Dependence on Initial-Time Geometry for a Thermoelastic System with Sign-Indefinite Elasticities

Continuous dependence of the solution to the equations of dynamical linear thermoelasticity on the initial-time geometry is investigated. Using a Lagrange identity method and assuming only the major symmetry on the elasticities, but no sign-definiteness, we derive inequalities establishing that appropriately constrained solutions depend Hölder continuously on perturbations of the initial geometry