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Three-Dimensional Boundary Value Problems of Elastothermodiffusion with Mixed Boundary Conditions
Authors:Burchuladze  T.  Bezhuashvili  Yu.
Affiliation:(1) A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi, 380093, Georgia;(2) Department of Mathematics, (N 3), 75, M. Kostava St., Tbilisi, 380015, Georgia
Abstract:We investigate the basic boundary value problems of the connected theory of elastothermodiffusion for three-dimensional domains bounded by several closed surfaces when the same boundary conditions are fulfilled on every separate boundary surface, but these conditions differ on different groups of surfaces. Using the results of papers [1–8], we prove theorems on the existence and uniqueness of the classical solutions of these problems.
Keywords:Thermodiffusion  oscillation problem  mixed boundary conditions  singular integral equations
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