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^*

^*Corresponding author for this work

Universidad Simón Bolívar
Universidad Yachay Tech

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

8 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

Access to Document

10.1007/s00006-014-0526-5

Cite this

@article{9eb3023162f64f73a607dad5d98d109e,

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",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Basel.",

year = "2015",

month = sep,

day = "19",

doi = "10.1007/s00006-014-0526-5",

language = "Ingl{\'e}s",

volume = "25",

pages = "527--538",

journal = "Advances in Applied Clifford Algebras",

issn = "0188-7009",

publisher = "Springer International Publishing",

number = "3",

}

TY - JOUR

T1 - Fundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras

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 - https://www.scopus.com/pages/publications/84939419195

U2 - 10.1007/s00006-014-0526-5

DO - 10.1007/s00006-014-0526-5

M3 - Artículo

AN - SCOPUS:84939419195

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this