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Matematicheskie Zametki, 2001, Volume 70, Issue 3, Pages 386–402
DOI: https://doi.org/10.4213/mzm751 (Mi mzm751) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Boundary Properties of Solutions to Second-Order Parabolic Equations in Domains with Special Symmetry

I. T. Mamedov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (259 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm751
Abstract: We consider the first boundary-value problem for second-order nondivergent parabolic equations with, in general, discontinuous coefficients. We study the regularity of a boundary point assuming that in a neighborhood of this point the boundary of the domain is a surface of revolution. We prove a necessary and sufficient regularity condition in terms of parabolic capacities; for the heat equation this condition coincides with Wiener"s criterion.
Received: 29.09.1999
English version:
Mathematical Notes, 2001, Volume 70, Issue 3, Pages 347–362
DOI: https://doi.org/10.1023/A:1012395712218
Bibliographic databases:
UDC: 517.956.4
Language: Russian
Citation: I. T. Mamedov, “Boundary Properties of Solutions to Second-Order Parabolic Equations in Domains with Special Symmetry”, Mat. Zametki, 70:3 (2001), 386–402; Math. Notes, 70:3 (2001), 347–362
Citation in format AMSBIB
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\pages 347--362
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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