The Dirichlet problem in a domain with a slit / Chernykh N. I.,Subbotin Yu. N. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2009. - V. 266, l. 1. - P. S103-S117.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

A basis of harmonic wavelets is constructed in an elliptic ring, and its approximation properties are investigated. The 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.

Author keywords:

harmonic wavelets; Dirichlet problem; domain with a slit; asymptotic expansion; approximation error

DOI:

10.1134/S008154380906008X

Web of Science ID:

ISI:000268192700008

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	Nikolai.Chernykh@imm.uran.ru yunsub@imm.uran.ru
ResearcherID-Numbers	Subbotin, Yurii Nikolaevich/C-4273-2017
Funding-Acknowledgement	Russian Foundation {[}08-01-00213, 08-01-00320, 09-01-00014]; Russian Academy of Sciences; Russian Federation {[}NSh-1071.2008.1]
Funding-Text	This work was supported by the Russian Foundation for Basic Research ( project nos. 08-01-00213, 08-01-00320, and 09-01-00014), by the Program of the Presidium of the Russian Academy of Sciences ``Mathematical Theory of Control,{''} and by the Program for State Support of Leading Scientific Schools of the Russian Federation ( project no. NSh-1071.2008.1)
Number-of-Cited-References	7
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	473FY