A Cauchy-Pompeiu Representation Formula Using Dirac Operator and its Applications in Some Piecewise Constant Structure Relations

Antonio Di Teodoro, Adrián Infante

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)

Resumen

In the present paper we use the piecewise constant structure relations of a Clifford algebra in order to obtain a Cauchy-Pompeiu representation for D - λ and D + λ operators, with these formulas we construct a distributional solutions for the equations that involves these operators with arbitrary right hand side. We also present an example where we build an integral representation for combinations of these operators.

Idioma originalInglés
Páginas (desde-hasta)323-337
Número de páginas15
PublicaciónAdvances in Applied Clifford Algebras
Volumen23
N.º2
DOI
EstadoPublicada - jun. 2013
Publicado de forma externa

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