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

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. Mathematics Subject Classification 2010: 74B99, 74H25, 35B30.