(1) Department of Mathematics and Mechanics, Kharkov National University, Ukraine;(2) Department of Mathematical and Computer Sciences, University of Tulsa, 600 S. College, Tulsa, OK, 74104, U.S.A.
Abstract:
Initial-boundary value problems with Dirichlet and Neumann conditions arising in the theory of bending of 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.
This revised version was published online in June 2006 with corrections to the Cover Date.