APPLICATION OF THE METHOD OF WEAK APPROXIMATION TO THE STATIONARY PROBLEM OF ELECTRODYNAMICSJournal: Science and world (Vol.1, No. 6)
Publication Date: 2014-02-28
Authors : Tilepiev M.Sh.; Urazmagambetova E.U.; Dyusembayeva L.K.;
Page : 60-64
Keywords : electrodynamics; method of weak approximation; approximate solution.;
The article is devoted to research of one stationary problem of electrodynamics. The considered problem is studied in dihedral area. Regarding the required function the corresponding smooth space is defined. The problems of electrodynamics in the fields with nonsmooth limits are solved by a method of weak approximation. The estimates of their solutions in weighted Sobolev spaces are received. It is shown that the generalized problem-solving like Dirichlet for stationary and non-stationary systems of the Maxwell’s equations in the field with nonsmooth limits (a plane angle and a dihedron ? in three-dimensional space) belong to some weight spaces .
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