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Boundary Value Problems of the Theory of Thermoelasticity with Microtemperatures

The boundary value problems of the steady oscillations of the linear theory of thermoelasticity with microtemperatures are investigated. The uniqueness and existence theorems of solution of the boundary value problems by means of the boundary integral method (potential method) are proved. The Sommerfeld‐Kupradze type radiation conditions are established. The existence of eigenfrequencies of the interior homogeneous boundary value problems of steady oscillations is studied.