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Preprints of the Keldysh Institute of Applied Mathematics, 2003, 072, 21 pp.
(Mi ipmp945)
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This article is cited in 1 scientific paper (total in 1 paper)
Method of angular potential in the boundary value problems of magnetised semiconductors physics
P. A. Krutitskii, A. V. Chikilev
Abstract:
The skew derivative problem and the mixed problem for the Laplace equation in an multiply connected domain is solved. These problems describe electric current in semiconductors placed in a homogeneous magnetic field. The normal current density and the potential is specified at the boundary. The existence and uniqueness of a solution are studied. The skew derivative problem is reduced to a Fredholm equation of the second kind, which is uniquely solvable. The same result is obtained for the mixed problem.
Citation:
P. A. Krutitskii, A. V. Chikilev, “Method of angular potential in the boundary value problems of magnetised semiconductors physics”, Keldysh Institute preprints, 2003, 072, 21 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp945 https://www.mathnet.ru/eng/ipmp/y2003/p72
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