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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1976, Volume 19, Issue 4, Pages 587–593 (Mi mz7777)

Modulus of continuity of the solution to the Dirichlet problem for a second-order parabolic equation

A. A. Novruzov

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).

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English version:
Mathematical Notes, 1976, 19:4, 356–359

Bibliographic databases:

UDC: 517.944

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
\Bibitem{Nov76} \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/mz7777} \mathscinet{http://www.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}