Integral Representation Formulas Related to the Lamé—Navier System

Springer Science and Business Media LLC - Tập 36 - Trang 1341-1356 - 2020
Ricardo Abreu-Blaya1, Juan Bory-Reyes2, Marcos Antonio Herrera-Peláez3, José María Sigarreta-Almira3
1Facultad de Matemáticas, Universidad Autónoma de Guerrero, Guerrero, México
2Instituto Politécnico Nacional SEPI-ESIME-ZAC, CD-MX, México
3Facultad de Matemáaticas, Universidad Autónoma de Guerrero, Guerrero, México

Tóm tắt

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.

Tài liệu tham khảo

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