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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 5, Pages 1137–1147 (Mi smj2036)  
This article is cited in 1 scientific paper (total in 1 paper)

On the logarithmic potential defined for a Van Koch curve

S. P. Ponomarev

Pomeranian Academy in Słupsk, Institute of Mathematics, Słupsk, Poland
Full-text PDF (336 kB) Citations (1)
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Abstract: This is a continuation of [1]. Under study are the differentiability properties of the logarithmic potential determined for some class of complex measures distributed on Van Koch's curves. Unlike the classical case of regular curves, the potential is shown to be of class $C^1$ on the whole plane $\mathbb C$. We also study a related analog of Robin's problem. The proofs are based on some results of [1].
Keywords: Van Koch's curve, logarithmic potential, Cauchy-type integral, Robin's problem.
Received: 12.08.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 5, Pages 898–906
DOI: https://doi.org/10.1007/s11202-009-0100-x
Bibliographic databases:
UDC: 517.518.1+517.518.17
Language: Russian
Citation: S. P. Ponomarev, “On the logarithmic potential defined for a Van Koch curve”, Sibirsk. Mat. Zh., 50:5 (2009), 1137–1147; Siberian Math. J., 50:5 (2009), 898–906
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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