Boundary equations in dynamic problems for thermoelastic media with cracks. (Ukrainian. English summary) Zbl 1080.74503
Summary: Mixed problems of the dynamics of the thermoelastic media with cracks are considered. Solutions to the problems are represented by the sum of the thermoelastic analogues of the single and double layer potentials. This representation yields systems of non-stationary boundary equations. The unique solvability of these systems is proved in the scale of Sobolev type functional spaces.