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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 281–296 (Mi timm662)  
This article is cited in 3 scientific papers (total in 4 papers)

Harmonic wavelets in boundary value problems for harmonic and biharmonic functions

Yu. N. Subbotin, N. I. Chernykh

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (260 kB) Citations (4)
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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 in a disk and in a ring, which were constructed earlier.
Keywords: Laplace operator, harmonic and biharmonic functions, boundary value problems, harmonic wavelets, disk, ring.
Received: 10.02.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 273, Issue 1, Pages S142–S159
DOI: https://doi.org/10.1134/S0081543811050154
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Yu. N. Subbotin, N. I. Chernykh, “Harmonic wavelets in boundary value problems for harmonic and biharmonic functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 281–296; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S142–S159
Citation in format AMSBIB
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\by Yu.~N.~Subbotin, N.~I.~Chernykh
\paper Harmonic wavelets in boundary value problems for harmonic and biharmonic functions
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\issue 4
\pages 281--296
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
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\issue , suppl. 1
\pages S142--S159
\crossref{https://doi.org/10.1134/S0081543811050154}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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