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Integral Representation Formulas Related to the Lamé—Navier System

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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 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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Authors and Affiliations

  1. Facultad de Matemáticas, Universidad Autónoma de Guerrero, Guerrero, México

    Ricardo Abreu-Blaya

  2. Instituto Politécnico Nacional SEPI-ESIME-ZAC, CD-MX, México

    Juan Bory-Reyes

  3. Facultad de Matemáaticas, Universidad Autónoma de Guerrero, Guerrero, México

    Marcos Antonio Herrera-Peláez & José María Sigarreta-Almira

Authors
  1. Ricardo Abreu-Blaya
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  2. Juan Bory-Reyes
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  3. Marcos Antonio Herrera-Peláez
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  4. José María Sigarreta-Almira
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Correspondence to Ricardo Abreu-Blaya.

Additional information

Supported in part by a grant from Agencia Estatal de Investigacin (PID2019-106433GB-I00/AEI/10.13039/50110 0 011033) Spain; the second author was partially supported by Instituto Politécnico Nacional in the framework of SIP programs (SIP20180225)

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Abreu-Blaya, R., Bory-Reyes, J., Herrera-Peláez, M.A. et al. Integral Representation Formulas Related to the Lamé—Navier System. Acta. Math. Sin.-English Ser. 36, 1341–1356 (2020). https://doi.org/10.1007/s10114-020-9332-2

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  • DOI: https://doi.org/10.1007/s10114-020-9332-2

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