SOME BOUNDARY VALUE PROBLEMS ON THE UPPER HALF PLANE

被引：0

作者：

Chaudhary, Arun ^{[1
]}

Kumar, Ravindra ^{[1
]}

机构：

[1] Univ Delhi, Rajdhani Coll, Dept Math, Delhi 110015, India

来源：

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 20卷 / 09期

关键词：

Neumann; Dirichlet; Cauchy-Pompeiu; Gauss theorem; Boundary value problems;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present work provides explicit representation of Half-Neumann boundary value problem on the upper half plane. The solution of inhomogeneous polyanalytic equation arising from the combination of (n-1) Dirichlet and 1-Half Neumann boundary conditions is also determined on the upper half plane H.

引用

页码：1965 / 1976

页数：12

共 14 条

[1] Singular Integral Neumann Boundary Conditions for Semilinear Elliptic PDEs [J].

Agarwal, Praveen ;

Merker, Jochen ;

Schuldt, Gregor .

AXIOMS, 2021, 10 (02) :NA

[2] Dirichlet Problems in Lens and Lune [J].

Akel, Mohamed ;

Mondal, Saiful R. .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (02) :1029-1043

[3] A hierarchy of integral operators [J].

Begehr, H ;

Hile, GN .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (03) :669-706

[4]

Begehr H., 1994, COMPLEX ANAL METHODS

[5]

Begehr H., 2005, Bol. Aosc Math. Venezolana, V12, P65

[6] Boundary value problems in upper half plane [J].

Chaudhary, Arun ;

Kumar, Ajay .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2009, 54 (05) :441-448

[7]

Gaertner F., 2006, THESIS FU BERLIN

[8] The treatment of the Neumann boundary conditions for a new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes [J].

Idesman, A. ;

Dey, B. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 365

[9]

KARACHIK V, 2012, INT J PURE APPL MATH, V0081, P00487

[10]

Kumar A., 2008, J APPL FUNCTIONAL AN, V3, P399

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