Abstract
Dirichlet, Neumann and mixed crack-type boundary value problems of statics are considered in three-dimensional bounded domains filled with a homogeneous anisotropic electro-elastic medium. Applying the method of the potential theory and the theory of pseudodifferential equations, we prove the existence and uniqueness theorems in Besov and Bessel potential spaces, and derive full asymptotic expansion of solutions near the crack edge.KeywordsDirichlet ProblemNeumann ProblemPseudodifferential OperatorCrack EdgePseudo Differential OperatorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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