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- Publisher
- de Gruyter
- Copyright
- © 1997 Plenum Publishing Corporation
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.1997.243
- Publisher site
- See Article on Publisher Site
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 Kupradze, Gegelia, Basheleishvili, and Burchuladze, Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity, North-Holland Publishing Company, 1979, Russian original, 1976–Mikhlin, Multi-dimensional singular integrals and integral equations, 1962, we prove theorems on the existence and uniqueness of the classical solutions of these problems.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Jun 1, 1997
Keywords: Thermodiffusion; oscillation problem; mixed boundary conditions; singular integral equations