Isomorphisms of Partial Differential Equations in Clifford Analysis

Abstract:

This paper studies some systems of second order partial differential equations associated to a Dirac type operator φ∂̲ in R2 and R3, with respect to an arbitrary structural set φ. We develop a method by which we can transform these general systems into those connected to the standard Dirac operator ∂̲. One unexpected result is that there exists an isomorphism relating the above generalized equations to the original ones.

Año de publicación:

2022

Keywords:

• Clifford analysis
• structural sets
• Dirac operator

Fuente:

scopus