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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1972 Volume 12, Issue 1, Pages 67–72 (Mi mzm9848)

This article is cited in 3 papers

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.

UDC: 517.9

Received: 16.12.1970


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

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