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

A. A. Novruzov

Azerbaijan State Oil Academy

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).

UDC: 517.944

Received: 31.03.1975

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

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