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

 Mat. Zametki, 1972, Volume 12, Issue 1, Pages 67–72 (Mi mz9848)

On the modulus of continuity of the solution to the Dirichlet problem at a regular boundary point

A. A. Novruzov

M. V. Lomonosov Moscow State University

Abstract: A linear elliptic equation of second order with coefficients satisfying a Dini condition is considered in the paper. The modulus of continuity of a solution at a regular boundary point is investigated. An estimate for the modulus of continuity in terms of the Wiener capacity is obtained.

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English version:
Mathematical Notes, 1972, 12:1, 472–475

Bibliographic databases:

UDC: 517.9

Citation: A. A. Novruzov, “On the modulus of continuity of the solution to the Dirichlet problem at a regular boundary point”, Mat. Zametki, 12:1 (1972), 67–72; Math. Notes, 12:1 (1972), 472–475

Citation in format AMSBIB
\Bibitem{Nov72} \by A.~A.~Novruzov \paper On the modulus of continuity of the solution to the Dirichlet problem at a regular boundary point \jour Mat. Zametki \yr 1972 \vol 12 \issue 1 \pages 67--72 \mathnet{http://mi.mathnet.ru/mz9848} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=318663} \zmath{https://zbmath.org/?q=an:0248.35037} \transl \jour Math. Notes \yr 1972 \vol 12 \issue 1 \pages 472--475 \crossref{https://doi.org/10.1007/BF01094394} 

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This publication is cited in the following articles:
1. V. A. Kondrat'ev, O. A. Oleinik, “Boundary-value problems for partial differential equations in non-smooth domains”, Russian Math. Surveys, 38:2 (1983), 1–66
2. A. I. Ibragimov, “On some qualitative properties of solutions of elliptic equations with continuous coefficients”, Math. USSR-Sb., 49:2 (1984), 447–460
3. A. A. Novruzov, “On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order”, Math. USSR-Sb., 50:2 (1985), 343–367
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