Harmonic Wavelets in Boundary Value Problems for Harmonic and Biharmonic Functions / Subbotin Yu. N.,Chernykh N. I. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2011. - V. 273, l. 1. - P. S142-S159.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

Abstract:

We consider boundary value problems in a disk and in a ring for homogeneous equations with the Laplace operator of the first and second orders. Solutions are represented in terms of bases of harmonic wavelets in Hardy spaces of harmonic functions in a disk and in a ring, which were constructed earlier.

Author keywords:

Laplace operator; harmonic and biharmonic functions; boundary value problems; harmonic wavelets; disk; ring

DOI:

10.1134/S0081543811050154

Web of Science ID:

ISI:000305481300015

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	JUL
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	yunsub@imm.uran.ru Nikolai.Chernykh@imm.uran.ru
ResearcherID-Numbers	Subbotin, Yurii Nikolaevich/C-4273-2017
Funding-Acknowledgement	Russian Foundation for Basic Research {[}08-01-00320, 08-01-00213, 09-01-00014]; Ural Branch of the Russian Academy of Sciences within the Program for Fundamental Research of the Division of Mathematical Sciences of the Russian Academy of Sciences ``Modern Problems of Theoretical Mathematics{''} {[}09-T-1-1004]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project nos. 08-01-00320, 08-01-00213, and 09-01-00014) and by the Ural Branch of the Russian Academy of Sciences (project no. 09-T-1-1004) within the Program for Fundamental Research of the Division of Mathematical Sciences of the Russian Academy of Sciences ``Modern Problems of Theoretical Mathematics.{''}
Number-of-Cited-References	7
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	961QG