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