A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
Krutitskii, P.A., Krutitskaya, N.Ch., Malysheva, G.Yu. (1999)
Mathematical Problems in Engineering
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Displaying similar documents to “Explicit solution of the jump problem for the Laplace equation and singularities at the edges.”
A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
Uniqueness of Dirichlet, Neumann, and mixed boundary value problems for Laplace's and Poisson's equations for a rectangle.
J. B. Díaz, R. B. Ram (1979)
Collectanea Mathematica
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Method of interior boundaries in a mixed problem of acoustic scattering.
Krutitskii, P.A. (1999)
Mathematical Problems in Engineering
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The boundary-value problems for Laplace equation and domains with nonsmooth boundary
Dagmar Medková (1998)
Archivum Mathematicum
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Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.
Singularities of eddy current problems
Martin Costabel, Monique Dauge, Serge Nicaise (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the time-harmonic eddy current problem in its electric formulation where the conductor is a polyhedral domain. By proving the convergence in energy, we justify in what sense this problem is the limit of a family of Maxwell transmission problems: Rather than a low frequency limit, this limit has to be understood in the sense of Bossavit [11]. We describe the singularities of the solutions. They are related to edge and corner singularities of certain problems for the scalar Laplace...