Title of article :
THE CAUCHY PROBLEM FOR THE SYSTEM OF EQUATIONS OF THERMOELASTICITY IN E^n
Author/Authors :
NIYOZOV, I.E. Samarkand State University - Department of Mechanics and Mathematics, Uzbekistan , MAKHMUDOV, O.I. Samarkand State University - Department of Mechanics and Mathematics, Uzbekistan
Abstract :
In this paper, we consider the problem of analytical continuation of solutions to the system of equations of thermoelasticity in a bounded domain. That is, we make a detailed analysis of the Cauchy problem regarding the values of thermoelasticity in bounded regions and the associated values of their strains on a part of the boundary of this domain.
Keywords :
Cauchy problem , system theory of elasticity , elliptic system , ill , posed problem , Carleman matrix , regularization
Journal title :
IIUM Engineering Journal
Journal title :
IIUM Engineering Journal