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

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

4 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	1341-1356
Número de páginas	16
Publicación	Acta Mathematica Sinica, English Series
Volumen	36
N.º	12
DOI	https://doi.org/10.1007/s10114-020-9332-2
Estado	Publicada - dic. 2020

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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.",

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AU - Bory-Reyes, Juan

AU - Herrera-Peláez, Marcos Antonio

AU - Sigarreta-Almira, José María

PY - 2020/12

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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.

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KW - 74B05

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Integral Representation Formulas Related to the Lamé—Navier System

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