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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2009 Volume 15, Number 1, Pages 208–221 (Mi timm216)
This article is cited in 1 paper

The Dirichlet problem in a domain with a slit

Yu. N. Subbotin, N. I. Chernykh

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: A basis of harmonic wavelets is constructed in an elliptic ring and its approximation properties are investigated. The obtained results are used to analyze the behavior of a boundary-value Dirichlet problem under the contraction of the inner boundary of the ring to a segment.

Keywords: harmonic wavelets, Dirichlet problem, domain with a slit, asymptotic expansion, approximation error.

UDC: 517.5

Received: 21.02.2009


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, 265, suppl. 1, S103–S117

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© Steklov Math. Inst. of RAS, 2024