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Mathematical problems of the theory of elasticity of chiral materials for Lipschitz domains
Author(s) -
Natroshvili David,
Stratis Ioannis G.
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.696
Subject(s) - mathematics , lipschitz continuity , uniqueness , elasticity (physics) , boundary value problem , mathematical analysis , lipschitz domain , dirichlet distribution , neumann boundary condition , materials science , composite material
Abstract By the potential method, we investigate the Dirichlet and Neumann boundary value problems of the elasticity theory of hemitropic (chiral) materials in the case of Lipschitz domains. We study properties of the single‐ and double‐layer potentials and of certain, generated by them, boundary integral operators. These results are applied to reduce the boundary value problems to the equivalent first and the second kind integral equations and the uniqueness and existence theorems are proved in various function spaces. Copyright © 2005 John Wiley & Sons, Ltd.