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The Nonclassical Boundary‐contact Problems of Elasticity for Homogeneous Anisotropic Media
Author(s) -
Chkadua O. O.
Publication year - 1995
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19951720105
Subject(s) - mathematics , uniqueness , mathematical analysis , elasticity (physics) , homogeneous , anisotropy , smoothness , boundary value problem , bessel function , boundary (topology) , physics , optics , combinatorics , thermodynamics
The existence and uniqueness of solutions of the nonclassical boundary‐contact problems (i.e., problems with a contact on some part of the boundaries) of elasticity for homogeneous anisotropic media are investigated in Besov and Bessel potential spaces using methods of potential theory and the theory of pseudodifferential equations on manifolds with boundary. The smoothness of the solutions obtained is studied.