Dirichlet-type problems for n-Poisson equation in Clifford analysis

DOI10.1080/00036811.2022.2034793zbMath1494.30081OpenAlexW4210979828MaRDI QIDQ5095334

A. Okay Çelebi, Ümit Aksoy

Publication date: 8 August 2022

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

Full work available at URL: https://doi.org/10.1080/00036811.2022.2034793

zbMATH Keywords

Dirichlet problemClifford analysisRiquier problem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations of solutions to PDEs (35C15)

Cites Work

• Green function representation in the Dirichlet problem for polyharmonic equations in a ball
• Iterated integral operators in Clifford analysis
• On Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra.
• Quaternionic analysis and elliptic boundary value problems
• Dirichlet problem for Poisson and bi-Poisson equations in Clifford analysis
• Orthogonal decompositions of Sobolev spaces in Clifford analysis
• Integral Representation Formulas in Polydomains
• Differential operators, their fundamental solutions and related integral representations in Clifford analysis
• Green function representation for the Dirichlet problem of the polyharmonic equation in a sphere
• Generalized Hypercomplex Function Theory
• Integral representations in quaternionic analysis related to the helmholtz operator
• Integral Representations in Complex, Hypercomplex and Clifford Analysis
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