A uniqueness theorem is proved for the weak solution of the Cauchy problem for an infinite thermoelastic plate with transverse shear deformation. The problem for the homogeneous version of the governing system of equations is then studied by means of some special initial potentials. This is a fundamental step in the construction of a potential theory for dynamic problems for thermoelastic plates, since its results make it possible to reduce various initial boundary value problems to their analogs with homogeneous initial conditions, which, in turn, may then be solved by means of dynamic (retarded) potentials.
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