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

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	527-538
Number of pages	12
Journal	Advances in Applied Clifford Algebras
Volume	25
Issue number	3
DOIs	https://doi.org/10.1007/s00006-014-0526-5
State	Published - 19 Sep 2015
Externally published	Yes

Keywords

Clifford-type algebras
Fundamental solutions
elliptic operators
integral representations formulae

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10.1007/s00006-014-0526-5

Cite this

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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

UR - http://www.scopus.com/inward/record.url?scp=84939419195&partnerID=8YFLogxK

U2 - 10.1007/s00006-014-0526-5

DO - 10.1007/s00006-014-0526-5

M3 - Artículo

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SN - 0188-7009

VL - 25

SP - 527

EP - 538

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

IS - 3

ER -

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

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Keywords

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