Elementary methods for solving the plane harmonic dirichlet problem for some canonical domains |
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| Authors: | Caius Jacob |
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| Affiliation: | Department of Mathematics and Mechanics , University of Bucharest , str. Academiei, Bucharest, 70109, Romania |
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| Abstract: | This paper is concerned with an explicit method for solving the Dirichlet problem in the unit circle for piecewise rational boundary values as well as in the half-plane. In the latter case also the solutions to mixed boundary conditions are given explicitly. The method is based on the Milne-Thomson theorem |
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| Keywords: | 34B15 34G20 |
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