Two boundary-value problems for the Cauchy-Riemann equation in a sector

DOI10.1007/s11785-010-0107-0zbMath1275.30005OpenAlexW1993045697MaRDI QIDQ371735

Ying Wang, Yu-Feng Wang

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0107-0

zbMATH Keywords

Dirichlet problemCauchy-Riemann equationSchwarz problemCauchy-Pompeiu formula

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Integral equations with kernels of Cauchy type (45E05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items

COMPLEX BOUNDARY VALUE PROBLEMS FOR THE CAUCHY–RIEMANN OPERATOR ON A TRIANGLE ⋮ Riemann boundary-value problem for doubly-periodic bianalytic functions ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Schwarz boundary value problem for the Cauchy-Riemann equation in a rectangle ⋮ Dirichlet problems in lens and lune ⋮ Neumann boundary value problems in fan-shaped domains ⋮ Unnamed Item ⋮ Задача о собственных значениях дифференциального оператора Коши - Римана с нелокальными краевыми условиями ⋮ A note on Riemann problems for single-periodic polyanalytic functions ⋮ On Riemann problem of automorphic polyanalytic functions connected with a rotation group

Cites Work

• The Schwarz problem for polyanalytic functions
• A Dirichlet problem for polyharmonic functions
• Harmonic boundary value problems in half disc and half ring
• Boundary value problems to first-order complex partial differential equations in a ring domain
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