On the Uniqueness and Continuous Dependence in the Linear Theory of Thermo-Microstretch Elasticity Backward in Time

Abstract

Abstract We study the uniqueness and the continuous dependence problems for the thermo-microstretch elastic processes backward in time. The data are given for the final time t = 0 and we want to study the solution at the previous moments. We transform the problem in a boundary-initial value problem by an appropriate change of variables. The uniqueness theorems presented in this article extend in a particular case the uniqueness theorem of Passarella and Tibullo (2010) and we also discuss a different class of problems than the one considered by them. We find some estimates that prove the continuous dependence of solution with respect to the final data.