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Integral representation formulas for higher order Dirac equations

2022; Elsevier BV; Volume: 515; Issue: 2 Linguagem: Inglês

10.1016/j.jmaa.2022.126414

1096-0813

Marcos Antonio Herrera Peláez, Ricardo Abreu Blaya, Arsenio Moreno García, José M. Sigarreta,

Elasticity and Wave Propagation

The aim of this paper is to establish a representation formula for the null solutions of some higher order Dirac operator, which particularly will be recognized as an iterated Lamé-Navier system of linear elasticity theory. We will show how to express the inverse of such a higher order partial differential operator, and this leads to a particular solution of the non-homogeneous system.