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Abstract

In article the stationary problem of electrodynamics is considered. This problem is studied in dihedral region. There is the corresponding space of smoothness relatively unknown function. Application of the triangle inequality and Lagrange's
formula of finite increments shows that family derivatives is equicontinuity. Electromagnetic problems in regions with nonsmooth boundaries are decided by the weak approximation. Estimations of their solutions in weight Sobolev spaces are obtained. It is shown that generalized solutions of Dirichlet problems for stationary and non-stationary system of Maxwell's equations in regions with nonsmooth boundaries (the angle of the plane and dihedral angle - in three-dimensional space) belong to certain weight spaces k H
 and k W2, .