Boundary integral equations in time-dependent bending of thermoelastic plates

The initial–boundary value problems with the Dirichlet and Neumann boundary conditions arising in the theory of bending of thermoelastic plates with transverse shear deformation are reduced to time-dependent boundary integral equations by means of layer potentials. The solvability of these equations is then investigated in Sobolev-type spaces. © 2007 Elsevier Inc. All rights reserved