Vakhtang Kokilashvili

A survey of recent results of georgian mathematicians on boundary value problems for holomorphic functions

abstract:
The present paper is a survey of the results obtained in recent years by the participants of the seminars held at A. Razmadze Mathematical Institute on boundary value problems for holomorphic and harmonic functions and on singular integral equations. These investigations take the source from to be the richest scientific heritage of N. Muskhelishvili.

Mathematics Subject Classification: 30E20, 30E25, 35Q15, 45E05, 42B20, 46E40, 30C35, 26A39, 35C05, 35J25.

Key words and phrases: Holomorphic and harmonic functions, Cauchy type integrals, singular integrals, piecewise holomorphic functions, Riemann and Riemann-Hilbert problems, Hardy and Smirnov classes, piecewise smooth boundary, cusps, boundary value problems with displacements, piecewise continuous and discontinuous boundary value problems.