Schwarz problem in a ring domain*
A. Okay Çelebi, Pelin Ayşe Gökgöz
Abstract
In this article, we discuss the solutions of Schwarz problem in a ring domain. Firstly we introduce the solutions of inhomogeneous Cauchy-Riemann equation. Afterwards we extend the discussions to higher-order equations. The relevant solvability conditions are obtained. The last part is reserved for the solutions of higher-order linear equations in C.
Topics & Concepts
MathematicsSchwarz alternating methodRing (chemistry)Domain (mathematical analysis)Order (exchange)Additive Schwarz methodApplied mathematicsMathematical analysisInitial value problemCauchy problemPure mathematicsDomain decomposition methodsFinite element methodOrganic chemistryChemistryFinanceThermodynamicsEconomicsPhysicsAlgebraic and Geometric AnalysisHolomorphic and Operator TheoryMathematical Analysis and Transform Methods