The generalized Riemann-Hilbert boundary value problem for non-homogeneous polyanalytic differential equation of order \(n\) in the Sobolev space \(W_{n,p}(D)\)

DOI10.4171/ZAA/901zbMath0936.30036OpenAlexW2080495528WikidataQ115211674 ScholiaQ115211674MaRDI QIDQ1806182

Ali Seif Mshimba

Publication date: 24 May 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48401

zbMATH Keywords

Riemann-Hilbert problemnonlineargeneralized Cauchy-Pompeiu integral operatornonhomogeneous polyanalytic PDEpolyanalytic function or order \(n\)

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Integral operators (47G10) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (3)

Boundary value problem for a second-order elliptic equation in the exterior of an ellipse ⋮ Mixed boundary value problem for some pairs of metaanalytic function and analytic function ⋮ On modified Hilbert boundary-value problems of polyanalytic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A hierarchy of integral operators
• Singular integrals
• On the existence of certain singular integrals
• The cauchy-lebesgue integral and boundary value problems
• Nonlinear poincaré problem for a system of first-order elliptic equations in the plane
• On the hilbert boundary value problem for holomorphic function in sobolev spaces
• Construction of the Solution to the Dirichlet Boundary Value Problem Belonging toW1,p (G) for Systems of General (Linear or Nonlinear) Partial Differential Equations in the Plane

This page was built for publication: The generalized Riemann-Hilbert boundary value problem for non-homogeneous polyanalytic differential equation of order \(n\) in the Sobolev space \(W_{n,p}(D)\)