Abstract
The system of boundary integral equations of linear isotropic elasticity, with the double layer potential generated by the preudostress operator, is considered on surfaces with a finite number of conic points. The solvability of the system is established in various function spaces. Representation for the inverse operator of the system in question is obtained in terms of inverse operators of some boundary value problems. Pointwise estimates for the kernel of the inverse operator of the system and their derivatives of any order are derived together with “quasilocal” estimates for solutions of the integral equations. The Laplace operator is contained here as a special case. Bibliography: 6 titles.
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