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Mixed Boundary Value Problems for Higher-Order Complex Partial Differential Equations
(Univ Simon Bolivar, 2010) Aksoy,U.; Okay Ĉedil,; elebi,A.; Celebi, Ahmet Okay; Ĉedil, Okay
In this paper, we introduce the operators related to mixed boundary value problems for general linear elliptic partial complex differential equations in the unit disc of the complex plane. The solvability of the relevant boundary value problems will be studied by transforming them into singular integral equations. © 2010, by Oldenbourg Wissenschaftsverlag, München, Germany. All rights reserved.
On a Boundary Value Problem for a Class of Second-Order Complex Partial Differential Equations
(Univ Simon Bolivar, 2023) Aksoy, Umit; Celebi, Ahmet Okay
In this article, a boundary value problem for a second-order complex partial differential equation whose main part is the Laplacian, is introduced and its solvability is discussed by reduction of the problem into the Schwarz problem for a first-order equation. The condition for solvability is presented and an estimate for the unique solution is provided.