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The Poisson problem in a domain with a cut |
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| Authors: | Yu N Subbotin N I Chernykh |
| Institution: | 1. Ural Federal University, Yekaterinburg, 620002, Russia |
| Abstract: | With the help of harmonic wavelets, we study the behavior of solutions to the Poisson problem in an elliptic ring when the interior bound shrinks to a segment. It is demonstrated that only partial derivatives of a solution have unbounded singularities near the ends of this segment. |
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