Fundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras

Eusebio Ariza; Antonio Di Teodoro; Adrián Infante; Judith Vanegas

doi:10.1007/s00006-014-0526-5

Fundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras

Eusebio Ariza, Antonio Di Teodoro, Adrián Infante, Judith Vanegas

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

7 Citas (Scopus)

Resumen

We show fundamental solutions for some second order elliptic operators in the framework of parameter-depending Clifford-type algebras. Then we show integral representation formulae for sufficiently smooth functions defined in a domain of Rⁿ⁺¹. This leads to integral formulae for solutions of certain partial differential equations of higher order.

Idioma original	Inglés
Páginas (desde-hasta)	527-538
Número de páginas	12
Publicación	Advances in Applied Clifford Algebras
Volumen	25
N.º	3
DOI	https://doi.org/10.1007/s00006-014-0526-5
Estado	Publicada - 19 sep. 2015
Publicado de forma externa	Sí

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title = "Fundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras",

abstract = "We show fundamental solutions for some second order elliptic operators in the framework of parameter-depending Clifford-type algebras. Then we show integral representation formulae for sufficiently smooth functions defined in a domain of Rn+1. This leads to integral formulae for solutions of certain partial differential equations of higher order.",

keywords = "Clifford-type algebras, Fundamental solutions, elliptic operators, integral representations formulae",

author = "Eusebio Ariza and {Di Teodoro}, Antonio and Adri{\'a}n Infante and Judith Vanegas",

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AU - Ariza, Eusebio

AU - Di Teodoro, Antonio

AU - Infante, Adrián

AU - Vanegas, Judith

PY - 2015/9/19

Y1 - 2015/9/19

N2 - We show fundamental solutions for some second order elliptic operators in the framework of parameter-depending Clifford-type algebras. Then we show integral representation formulae for sufficiently smooth functions defined in a domain of Rn+1. This leads to integral formulae for solutions of certain partial differential equations of higher order.

AB - We show fundamental solutions for some second order elliptic operators in the framework of parameter-depending Clifford-type algebras. Then we show integral representation formulae for sufficiently smooth functions defined in a domain of Rn+1. This leads to integral formulae for solutions of certain partial differential equations of higher order.

KW - Clifford-type algebras

KW - Fundamental solutions

KW - elliptic operators

KW - integral representations formulae

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U2 - 10.1007/s00006-014-0526-5

DO - 10.1007/s00006-014-0526-5

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VL - 25

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JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

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Fundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras

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