Neumann and Mixed Boundary Value Problems on the Upper Half Plane

We give explicit representation of Neumann boundary value problem for Bitsadze equation on the upper half plane. We will also give solution of the inhomogeneous polyanalytic equation arising from Neumann and (n-1) Dirichlet boundary conditions on the upper half plane H.

Bibliographic Details
Main Author: Arun Chaudhary
Format: Article
Language:English
Published: ATNAA 2022-01-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1818356
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author Arun Chaudhary
author_facet Arun Chaudhary
author_sort Arun Chaudhary
collection DOAJ
description We give explicit representation of Neumann boundary value problem for Bitsadze equation on the upper half plane. We will also give solution of the inhomogeneous polyanalytic equation arising from Neumann and (n-1) Dirichlet boundary conditions on the upper half plane H.
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spelling doaj.art-d6a92f664fa34b4bb7dea2836fc4e3ba2023-02-15T16:09:28ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482022-01-016113514210.31197/atnaa.950920Neumann and Mixed Boundary Value Problems on the Upper Half PlaneArun ChaudharyWe give explicit representation of Neumann boundary value problem for Bitsadze equation on the upper half plane. We will also give solution of the inhomogeneous polyanalytic equation arising from Neumann and (n-1) Dirichlet boundary conditions on the upper half plane H.https://dergipark.org.tr/tr/download/article-file/1818356dirichlet boundary conditionschwarz boundary conditionscauchy-pompeiu representationgauss theorem
spellingShingle Arun Chaudhary
Neumann and Mixed Boundary Value Problems on the Upper Half Plane
Advances in the Theory of Nonlinear Analysis and its Applications
dirichlet boundary condition
schwarz boundary conditions
cauchy-pompeiu representation
gauss theorem
title Neumann and Mixed Boundary Value Problems on the Upper Half Plane
title_full Neumann and Mixed Boundary Value Problems on the Upper Half Plane
title_fullStr Neumann and Mixed Boundary Value Problems on the Upper Half Plane
title_full_unstemmed Neumann and Mixed Boundary Value Problems on the Upper Half Plane
title_short Neumann and Mixed Boundary Value Problems on the Upper Half Plane
title_sort neumann and mixed boundary value problems on the upper half plane
topic dirichlet boundary condition
schwarz boundary conditions
cauchy-pompeiu representation
gauss theorem
url https://dergipark.org.tr/tr/download/article-file/1818356
work_keys_str_mv AT arunchaudhary neumannandmixedboundaryvalueproblemsontheupperhalfplane