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KIAM Preprint № 72, Moscow, 2003
Authors: Krutitskii P. A., Tchickilev A.O.
Method of Angular Potential in the Boundary Value Problems of Magnetised Semiconductors Physics.
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.
Publication language: russian,  pages: 21
Research direction:
Mathematical problems and theory of numerical methods
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