A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function

DOI10.1080/00036811.2021.1986028zbMath1496.30020OpenAlexW3204737230MaRDI QIDQ5095325

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Publication date: 8 August 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1986028

zbMATH Keywords

integral representationNeumann problemharmonic Green functionpolyanalytic equation

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (4)

COMPLEX BOUNDARY VALUE PROBLEMS FOR THE CAUCHY–RIEMANN OPERATOR ON A TRIANGLE ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Schwarz boundary value problems for polyanalytic equation in a sector ring ⋮ Complex boundary value problems in a lens

Cites Work

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• Constructive methods for elliptic equations
• A hierarchy of integral operators
• Integral representations in the complex plane and iterated boundary value problems
• Polyanalytic boundary value problems for planar domains with harmonic Green function
• A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem
• A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem revisited

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