Integral representation formulas related to the Lamé-Navier system

DOI10.1007/s10114-020-9332-2zbMath1461.30110OpenAlexW3116130439MaRDI QIDQ1995601

José María Sigarreta-Almira, Marcos Antonio Herrera-Peláez, Juan Bory-Reyes, Ricardo Abreu-Blaya

Publication date: 24 February 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-9332-2

zbMATH Keywords

Dirac operatorClifford analysisLamé system

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (4)

Integral representation formulas for higher order Dirac equations ⋮ Boundary value problems for the Lamé-Navier system in fractal domains ⋮ Applications of endomorphisms on Clifford algebras to \((\alpha, \beta)\)-monogenic functions and isotonic functions ⋮ Iterated generalized Dirac operators of mixed sides

Cites Work

• The Cauchy problem of the moment elasticity theory in \(\mathbb R^m\)
• Boundary value problems for the systems of elastostatics in Lipschitz domains
• The mixed problem for the Lamé system in a class of Lipschitz domains
• Quaternionic analysis and elliptic boundary value problems
• Clifford algebra valued boundary integral equations for three-dimensional elasticity
• A Cauchy integral formula for inframonogenic functions in Clifford analysis
• ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula
• Three-dimensional Quaternionic Analogue of the Kolosov–Muskhelishvili Formulae
• A Cauchy-Kowalevski theorem for inframonogenic functions
• Fischer decomposition by inframonogenic functions
• Boundary Value Problems for Parabolic Lame Systems and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders
• Inframonogenic functions and their applications in 3‐dimensional elasticity theory
• Quasistatic Evolution of Cavities in Nonlinear Elasticity
• The Poisson Problem for the Lamé System on Low-dimensional Lipschitz Domains
• On a spatial generalization of the Kolosov–Muskhelishvili formulae
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