Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation

DOI10.21136/CMJ.2022.0043-21OpenAlexW4207037632MaRDI QIDQ5084259

Hongfen Yuan, Valery V. Karachik

Publication date: 23 June 2022

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2022.0043-21

zbMATH Keywords

Dirichlet problemslice Clifford analysisslice Dirac equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• Slice monogenic functions
• The Radon transform between monogenic and generalized slice monogenic functions
• Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Clifford analysis: History and perspective
• Implementing zonal harmonics with the Fueter principle
• Almansi theorem and mean value formula for quaternionic slice-regular functions
• Algebraic approach to slice monogenic functions
• Slice Fourier transform and convolutions
• A new approach to Cullen-regular functions of a quaternionic variable
• Volume Cauchy formulas for slice functions on real associative *-algebras
• Almansi-type theorems for slice-regular functions on Clifford algebras
• Slice Segal–Bargmann transform
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