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Matematicheskie Zametki, 1976, Volume 19, Issue 4, Pages 587–593 (Mi mzm7777)  
Modulus of continuity of the solution to the Dirichlet problem for a second-order parabolic equation

A. A. Novruzov

Azerbaijan State Oil Academy
Full-text PDF (424 kB)
Abstract: The modulus of continuity of the solution to the Dirichlet problem is investigated for a second-order parabolic equation at a regular boundary point. A bound for the modulus of continuity is obtained in terms of the capacity. The coefficients of the equation are required to satisfy a Dini condition (uniformly).
Received: 31.03.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 4, Pages 356–359
DOI: https://doi.org/10.1007/BF01156797
Bibliographic databases:
UDC: 517.944
Language: Russian
Citation: A. A. Novruzov, “Modulus of continuity of the solution to the Dirichlet problem for a second-order parabolic equation”, Mat. Zametki, 19:4 (1976), 587–593; Math. Notes, 19:4 (1976), 356–359
Citation in format AMSBIB
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\by A.~A.~Novruzov
\paper Modulus of continuity of the solution to the Dirichlet problem for a~second-order parabolic equation
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 4
\pages 587--593
\mathnet{http://mi.mathnet.ru/mzm7777}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=492787}
\zmath{https://zbmath.org/?q=an:0336.35052|0328.35041}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 4
\pages 356--359
\crossref{https://doi.org/10.1007/BF01156797}
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