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Algebra i Analiz, 2009, Volume 21, Issue 4, Pages 174–195 (Mi aa1148)  
This article is cited in 5 scientific papers (total in 5 papers)

Research Papers

Hölder estimates for solutions to degenerate nondivergence elliptic and parabolic equations

A. I. Nazarov

St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (333 kB) Citations (5)
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Abstract: We deal with a class of nondivergence type elliptic and parabolic equations degenerating at the coordinate hyperplanes. Assuming that the degeneration is coordinatewise and varies regularly, we prove the Hölder continuity of solutions. Also, the approximative solutions are considered.
Received: 08.09.2008
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 4, Pages 635–650
DOI: https://doi.org/10.1090/S1061-0022-2010-01109-9
Bibliographic databases:
Document Type: Article
MSC: Primary 35B45; Secondary 35J70, 35K65
Language: Russian
Citation: A. I. Nazarov, “Hölder estimates for solutions to degenerate nondivergence elliptic and parabolic equations”, Algebra i Analiz, 21:4 (2009), 174–195; St. Petersburg Math. J., 21:4 (2010), 635–650
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:81
    First page:19
     
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