Basic properties of solutions of boundary value problem for the Dirac-wave operator

DOI10.1007/s11785-023-01396-yzbMath1522.35431MaRDI QIDQ6096047

Emilio Marmolejo Olea

Publication date: 11 September 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

wave equationDirac operatorboundary value problemClifford algebrasClifford analysisMaxwell systemintegral representation formulashyperbolic Dirac operator

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Clifford algebras, spinors (15A66) Time-dependent Schrödinger equations and Dirac equations (35Q41) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

• The fundamental solution of the hyperbolic Dirac operator on \(\mathbb R^{1,m}\) : a new approach
• Hyperbolic partial differential equations
• Clifford wavelets, singular integrals, and Hardy spaces
• The inverse Radon transform and the fundamental solution of the hyperbolic Dirac equation
• Partial differential equations. 1: Basic theory
• Solutions for the Hyperbolic Dirac Equation on R_{1, m}
• Geometric Multivector Analysis
• Distributions, partial differential equations, and harmonic analysis
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