On the electric current from electrodes in a magnetized semiconductor film |
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Authors: | Krutitskii PA |
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Institution: |
Department of Mathematics, Faculty of Physics, Moscow State University, Moscow 119899, Russia Y krutitsk@math.phys.msu.su
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Abstract: | The problem on the electric current from electrodes in a magnetizedsemiconductor film is reduced to the skew derivative problemfor the Laplace equation outside cuts in a plane. The problemfor the Laplace equation is studied under different conditionsat infinity, which have a certain physical meaning. With thehelp of potential theory, the skew derivative problem is reducedto a Fredholm integral equation of the second kind, which isuniquely solvable. The Neumann problem for the Laplace equationin the exterior of cuts in a plane is a particular case of ourproblem. |
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