Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика (Aug 2022)
On a solution of a nondegenerate boundary value problem of Carleman type for quasiharmonic functions in circular domains
Abstract
This paper considers a Carleman type boundary value problem for quasiharmonic functions. The boundary value problem is an informal model of a Carleman type differential problem for analytic functions of a complex variable.This paper presented a complex-analytical method for solving the problem under consideration in circular domains, which makes it possible to establish the instability of its solutions concerning small contour changes.
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