The Cauchy Problem for the System of Elasticity

In this paper, we considered the problem of analytical continuation of the solution of the system equations of the thermoelasticity in spacious bounded domain from its values and values of its strains on part of the boundary of this domain, i.e., the Cauchy's problem.Ultimately, this exploration not only contributes to the theoretical underpinnings of thermoelasticity but also enhances our understanding of boundary-value problems in partial differential equations, reinforcing their significance in applied mathematics and engineering disciplines.

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