Harmonic wavelets in boundary value problems for harmonic and biharmonic functions

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 earli...

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Bibliographic Details
Published in:	Proceedings of the Steklov Institute of Mathematics Vol. 273; no. Suppl 1; pp. 142 - 159
Main Authors:	Subbotin, Yu. N., Chernykh, N. I.
Format:	Journal Article
Language:	English
Published:	Dordrecht SP MAIK Nauka/Interperiodica 01.07.2011
Subjects:	Mathematics Mathematics and Statistics Laplace operator disk harmonic and biharmonic functions harmonic wavelets ring boundary value problems
ISSN:	0081-5438, 1531-8605
Online Access:	Get full text
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Summary:	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.
ISSN:	0081-5438 1531-8605
DOI:	10.1134/S0081543811050154