Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra

DOI10.15673/tmgc.v16i1.2400zbMath1523.30062OpenAlexW4381137147MaRDI QIDQ6051477

Serhii V. Gryshchuk

Publication date: 20 September 2023

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15673/tmgc.v16i1.2400

zbMATH Keywords

biharmonic equationmonogenic functionsbiharmonic algebraLamé-type system

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Cites Work

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• Lamé system of elasticity theory in a plane orthotropic medium
• Biharmonic bases in algebras of the second rank
• Biharmonic potentials and plane isotropic displacement fields
• Monogenic functions in commutative complex algebras of the second rank and the Lamé equilibrium system for some class of plane orthotropy
• Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. II
• Hyperanalytic functions and their applications
• On the theory of anisotropic flat elasticity
• ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula
• Three-dimensional Quaternionic Analogue of the Kolosov–Muskhelishvili Formulae
• Basic Properties of Monogenic Functions in a Biharmonic Plane
• Monogenic functions in a biharmonic algebra
• Hypercomplex monogenic functions of the biharmonic variable in some problems of plane elasticity theory
• Quaternionic representation of the 3D elastic and thermoelastic boundary problems
• A function‐theoretic approach to elliptic systems of equations in two variables

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