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Zeitschrift für Analysis und ihre Anwendungen


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Volume 6, Issue 1, 1987, pp. 61–73
DOI: 10.4171/ZAA/229

Published online: 1987-02-28

Solution of the Dirichlet problem in a domain with a boundary containing a rounded corner (in Russian)

V.I. Vlakov, A.P. Prudnikov and D.B. Volkov

The Dirichlet problem for the Laplace equation in a circle with a notch with rounded corner is considered; the solution is found in a form that allows differentiation of any order in the domain and at the contour of the rounded-off notch. Numerical results and their analysis are presented.

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Vlakov V.I., Prudnikov A.P., Volkov D.B.: Solution of the Dirichlet problem in a domain with a boundary containing a rounded corner (in Russian). Z. Anal. Anwend. 6 (1987), 61-73. doi: 10.4171/ZAA/229