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A problem related to the hall effect in a semiconductor with an electrode of an arbitrary shape

A problem on electric current in a semiconductor film from an electrode of an arbitrary shape is studied in the presence of a magnetic field. This situation describes the Hall effect, which indicates the deflection of electric, current from electric field in a semiconductor. From mathematical standpoint we consider the skew derivative problem for harmonic functions in the...

On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane

, Tsukuba, Ibaraki 305-8564, Japan Received 20 March 2012; Revised 29 March 2012; Accepted 14 April 2012 Academic Editor: Vladimir Mityushev Copyright © 2012 P. A. Krutitskii and A. Sasamoto. This is an ... at Google Scholar · View at Zentralblatt MATHN. I. Muskhelishvili, Singular Integral Equations, Wolters-Noordhoff Publishing, Groningen, The Netherlands, 1972. P. A. Krutitskii, “Explicit solution of