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Integral Representation Formulas Related to the Lamé—Navier System.

Authors :
Abreu-Blaya, Ricardo
Bory-Reyes, Juan
Herrera-Peláez, Marcos Antonio
Sigarreta-Almira, José María
Source :
Acta Mathematica Sinica. Dec2020, Vol. 36 Issue 12, p1341-1356. 16p.
Publication Year :
2020

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14398516
Volume :
36
Issue :
12
Database :
Academic Search Index
Journal :
Acta Mathematica Sinica
Publication Type :
Academic Journal
Accession number :
147772007
Full Text :
https://doi.org/10.1007/s10114-020-9332-2