ESTIMATES FOR KERNELS OF INVERSE OPERATORS OF INTEGRAL EQUATIONS OF ELASTICITY ON SURFACES WITH CONIC POINTS

摘要

Boundary integral equations of linear isotropic elasticity, with the double layer potential generated by the preudostress operator, are considered on surfaces with a finite number of conic points. Representations for solutions are obtained in terms of the inverse operators of the Dirichlet and Neumann problems in the interior and exterior of the surface. Pointwise estimates for kernels of inverse operators and their derivatives of any order are derived with the help of estimates for fundamental solutions of those boundary value problems. The Laplace operator is contained here as a special case.