Integral Representation Formulas Related to the Lamé–Navier System

• 作者: José María SIGARRETA-ALMIRA Juan BORY-REYES Marcos Antonio HERRERA-PELáEZ Ricardo ABREU-BLAYA
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2020,（12）
• 页码范围: 1341-1356
• 页数: 16页
• 语种: 英文

摘要

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.