Isomorphisms of partial differential equations in Clifford analysis
D Alfonso Santiesteban, R Abreu Blaya - Advances in Applied Clifford …, 2022 - Springer
Advances in Applied Clifford Algebras, 2022•Springer
This paper studies some systems of second order partial differential equations associated to
a Dirac type operator φ∂ ̲ in R 2 and R 3, 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.
a Dirac type operator φ∂ ̲ in R 2 and R 3, 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.
Abstract
This paper studies some systems of second order partial differential equations associated to a Dirac type operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${^\varphi \!\underline{\partial }}$$\end{document} in and , with respect to an arbitrary structural set . We develop a method by which we can transform these general systems into those connected to the standard Dirac operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\underline{\partial }$$\end{document}. One unexpected result is that there exists an isomorphism relating the above generalized equations to the original ones.
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