A modified Dirac operator in parameter-dependent Clifford algebra: A physical realization

DOI10.1007/s00006-014-0510-0zbMath1319.35285OpenAlexW2035982404MaRDI QIDQ2353172

Yanyan Li

Publication date: 8 July 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-014-0510-0

zbMATH Keywords

Dirichlet problemDirac operatormonogenic functionClifford-type algebra

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (5)

On weighted Dirac operators and their fundamental solutions for anisotropic media ⋮ Cauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class ⋮ An integral representation formula for multi meta-\(\phi \)-monogenic functions of second class ⋮ On weighted dirac operators and their fundamental solutions ⋮ A Dirichlet boundary value problem for fractional monogenic functions in the Riemann-Liouville sense

Cites Work

• General algebraic structures of Clifford type and Cauchy-Pompeiu formulae for some piecewise constant structure relations
• First order elliptic systems. A function theoretic approach
• A Dirichlet problem for the first order inhomogeneous meta-monogenic equation in parameter depending Clifford algebras
• Some integral representation for meta-monogenic function in Clifford algebras depending on parameters
• Integral Representations in Complex, Hypercomplex and Clifford Analysis
• Gamma-lines approach in the study of global behaviour of solutions of complex differential equations
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