Boundary value problems to first-order complex partial differential equations in a ring domain

DOI10.1080/10652460701736569zbMath1174.30047OpenAlexW2055493375MaRDI QIDQ3506274

Tatyana Vaitekhovich

Publication date: 12 June 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701736569

zbMATH Keywords

analytic functionDirichletNeumanninhomogeneous Cauchy-Riemann equationRobin boundary value problemSchwarzring domain

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Solutions to PDEs in closed form (35C05) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Boundary value problems for linear first-order PDEs (35F15)

Related Items (24)

Schwarz boundary problem on a triangle ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ \(\mathbb R\)-linear problem for multiply connected domains and alternating method of Schwarz ⋮ Two boundary-value problems for the Cauchy-Riemann equation in a sector ⋮ Schwarz problem in a ring domain* ⋮ Dirichlet problem for higher-order equations in a ring domain ⋮ Neumann boundary value problem for the Beltrami equation in a ring domain ⋮ Schwarz boundary value problems for polyanalytic equation in a sector ring ⋮ Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain ⋮ Schwarz boundary value problem for the Cauchy-Riemann equation in a rectangle ⋮ A note on the Schwarz problem in a ring domain ⋮ Fundamental Solutions to the Laplacian in Plane Domains Bounded by Ellipses ⋮ SOME BOUNDARY VALUE PROBLEMS FOR THE CAUCHY-RIEMANN EQUATION IN HALF LENS ⋮ SCHWARZ PROBLEM IN LENS AND HALF LENS ⋮ Unnamed Item ⋮ Polyanalytic boundary value problems for planar domains with harmonic Green function ⋮ Biharmonic Green function and biharmonic Neumann function in a sector ⋮ Some harmonic Robin functions in the complex plane ⋮ Neumann boundary value problem for Bitsadze equation in a ring domain ⋮ Schwarz boundary value problem in half lens and half lune ⋮ How to find harmonic Green functions in the plane ⋮ Schwarz problem for bi-analytic functions in multiply connected domains ⋮ The Liouville–Neumann expansion in one-dimensional boundary value problems ⋮ Complex boundary value problems in a lens

Cites Work

• Integral Representations in Complex, Hypercomplex and Clifford Analysis
• Modified Schwarz alternating method to the solution of the Riemann--Hilbert problem on doubly connected domains
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