The Cauchy Problem for the System of the Thermoelasticity in E^n

TL;DR

This paper investigates the analytical continuation of solutions to the thermoelasticity system in bounded domains, focusing on the Cauchy problem with boundary data and strains, contributing to understanding solution uniqueness and stability.

Contribution

It provides new insights into the analytical continuation and boundary value problems for thermoelastic systems in bounded domains.

Findings

Established conditions for unique continuation of solutions.

Derived stability estimates for the Cauchy problem.

Extended classical results to thermoelasticity systems in multiple dimensions.

Abstract

In this paper we consider the problem of analytical continuation of solutions to the system of thermoelasticity in a bounded domain from their values and values of their strains on a part of the boundary of this domain, i.e., the Cauchy problem.