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On a certain two-sided symmetric condition in magnetic field analysis and computations

František Melkes, Alexander Ženíšek (1997)

Applications of Mathematics

A special two-sided condition for the incremental magnetic reluctivity is introduced which guarantees the unique existence of both the weak and the approximate solutions of the nonlinear stationary magnetic field distributed on a region composed of different media, as well as a certain estimate of the error between the two solutions. The condition, being discussed from the physical as well as the mathematical point of view, can be easily verified and is fulfilled for various magnetic reluctivity...

On a quasi-variational inequality arising in semiconductor theory.

José-Francisco Rodrigues (1992)

Revista Matemática de la Universidad Complutense de Madrid

Some new mathematical results of existence and uniqueness of solutions are obtained for a class of quasi-variational inequalities modeling the free boundary problem for the determination of the depletion zone in reverse biased semiconductor diodes. The corresponding one (or two) obstacle implicit problems are solved by direct methods with weak regularity estimates for mixed boundary value elliptic problems of second order.

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