Integral Representation Formulas Related to the Lamé—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 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.

Año de publicación:

2020

Keywords:

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

Fuente:

scopus