Integral Representation Formulas Related to the Lamé—Navier System

Ricardo Abreu-Blaya; Juan Bory-Reyes; Marcos Antonio Herrera-Peláez; José María Sigarreta-Almira

doi:10.1007/s10114-020-9332-2

Integral Representation Formulas Related to the Lamé—Navier System

Ricardo Abreu-Blaya, Juan Bory-Reyes, Marcos Antonio Herrera-Peláez, José María Sigarreta-Almira

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

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

4 Scopus citations

Abstract

The paper provides integral representations for solutions to a certain first order partial differential equation natural arising in the factorization of the Lamé—Navier system with the help of Clifford analysis techniques. These representations look like in spirit to the Borel—Pompeiu and Cauchy integral formulas both in three and higher dimensional setting.

Original language	English
Pages (from-to)	1341-1356
Number of pages	16
Journal	Acta Mathematica Sinica, English Series
Volume	36
Issue number	12
DOIs	https://doi.org/10.1007/s10114-020-9332-2
State	Published - Dec 2020

Keywords

30G30
31B10
31B30
74B05
Clifford analysis
Dirac operator
Lamé system

Access to Document

10.1007/s10114-020-9332-2

Cite this

@article{6477bc74e82a4f29bb509e922c9df08a,

title = "Integral Representation Formulas Related to the Lam{\'e}—Navier System",

abstract = "The paper provides integral representations for solutions to a certain first order partial differential equation natural arising in the factorization of the Lam{\'e}—Navier system with the help of Clifford analysis techniques. These representations look like in spirit to the Borel—Pompeiu and Cauchy integral formulas both in three and higher dimensional setting.",

keywords = "30G30, 31B10, 31B30, 74B05, Clifford analysis, Dirac operator, Lam{\'e} system",

author = "Ricardo Abreu-Blaya and Juan Bory-Reyes and Herrera-Pel{\'a}ez, {Marcos Antonio} and Sigarreta-Almira, {Jos{\'e} Mar{\'i}a}",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Germany & The Editorial Office of AMS.",

year = "2020",

month = dec,

doi = "10.1007/s10114-020-9332-2",

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

volume = "36",

pages = "1341--1356",

journal = "Acta Mathematica Sinica, English Series",

issn = "1439-8516",

number = "12",

}

TY - JOUR

T1 - Integral Representation Formulas Related to the Lamé—Navier System

AU - Abreu-Blaya, Ricardo

AU - Bory-Reyes, Juan

AU - Herrera-Peláez, Marcos Antonio

AU - Sigarreta-Almira, José María

PY - 2020/12

Y1 - 2020/12

N2 - The paper provides integral representations for solutions to a certain first order partial differential equation natural arising in the factorization of the Lamé—Navier system with the help of Clifford analysis techniques. These representations look like in spirit to the Borel—Pompeiu and Cauchy integral formulas both in three and higher dimensional setting.

AB - The paper provides integral representations for solutions to a certain first order partial differential equation natural arising in the factorization of the Lamé—Navier system with the help of Clifford analysis techniques. These representations look like in spirit to the Borel—Pompeiu and Cauchy integral formulas both in three and higher dimensional setting.

KW - 30G30

KW - 31B10

KW - 31B30

KW - 74B05

KW - Clifford analysis

KW - Dirac operator

KW - Lamé system

UR - http://www.scopus.com/inward/record.url?scp=85098006988&partnerID=8YFLogxK

U2 - 10.1007/s10114-020-9332-2

DO - 10.1007/s10114-020-9332-2

M3 - Artículo

AN - SCOPUS:85098006988

SN - 1439-8516

VL - 36

SP - 1341

EP - 1356

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 12

ER -

Integral Representation Formulas Related to the Lamé—Navier System

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this