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Additive decompositions of the displacement vector of the Lamé-Navier system

Abstract:

In the context of Clifford analysis, the inframonogonic functions arise as the solutions of a non-commutative version of the Laplace equation. The applicability of these functions in the search for new representations for the solutions of the equilibrium equation in Linear Elasticity has been studied by several researchers. This work focuses on additive decompositions for the displacements of the Lamé-Navier system by means of inframonogeneric functions.