Investigation of pseudo-differential operators of hydromechanics and elasticity theory boundary-value problems

Studied have been pseudo-differential operators appearing in the reduction of four basic boundary-value problems of elasticity theory and of the Stokes problem in hydromechanics to equivalent regular Fredholm integral equations at the area boundary as well as the reduction of the boundary-contact problem of elasticity theory to the system of equivalent regular integral equations at the contact surface. Obtained have been formulas of main symbols of pseudo-differential operators in equivalent integral equations and the integral form of those operators, the main member of Kosser spectrum asymptotics, an approximate formula of body resistance force in a flow. Proved has been the theorem about the reduction of the boundary-contact problem of elasticity theory to the system of equivalent regular equations at the contact surfaceAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio