Integral Representation Formulas Related to the Lamé—Navier System

Autor:	Marcos Antonio Herrera-Peláez, José María Sigarreta-Almira, Juan Bory-Reyes, Ricardo Abreu-Blaya
Rok vydání:	2020
Předmět:	010101 applied mathematics Algebra Integral representation Factorization Applied Mathematics General Mathematics 010102 general mathematics First-order partial differential equation Clifford analysis 0101 mathematics 01 natural sciences Cauchy's integral formula Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 36:1341-1356
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-020-9332-2
Popis:	The paper provides integral representations for solutions to a certain first order partial differential equation natural arising in the factorization of the Lame—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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f5178689ed0d34b325d4183201689ba5 https://doi.org/10.1007/s10114-020-9332-2 Zobrazit plný text záznamu Plný text ve formátu PDF