Reduction of the Lamé Tensor Equations to the System of Non-Coupled Tetraharmonic Equations

DOI10.1007/978-3-030-50302-4_2zbMath1480.35158OpenAlexW3107268033MaRDI QIDQ5013920

D. V. Georgievskii

Publication date: 3 December 2021

Published in: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-50302-4_2

zbMATH Keywords

Galerkin representationfourth order linear systemsLamé vector equations

Mathematics Subject Classification ID

Second-order elliptic systems (35J47) Higher-order elliptic systems (35J48) Systems of linear higher-order PDEs (35G35)

Cites Work

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• Boundary conditions for the volume potential for the polyharmonic equation
• The Cauchy problem for polyharmonic equations
• On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation
• Procedure of the Galerkin Representation in Transversely Isotropic Elasticity

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