The aim of this paper is to establish a representation formula for the solutions of the Lamé-Navier system in linear elasticity theory. We also study boundary value problems for such a system in a bounded domain $ \Omega\subset {\mathbb R}^3 $, allowing a very general geometric behavior of its boundary. Our method exploits the connections between this system and some classes of second order partial differential equations arising in Clifford analysis.
Citation: Ricardo Abreu Blaya, J. A. Mendez-Bermudez, Arsenio Moreno García, José M. Sigarreta. Boundary value problems for the Lamé-Navier system in fractal domains[J]. AIMS Mathematics, 2021, 6(10): 10449-10465. doi: 10.3934/math.2021606
The aim of this paper is to establish a representation formula for the solutions of the Lamé-Navier system in linear elasticity theory. We also study boundary value problems for such a system in a bounded domain $ \Omega\subset {\mathbb R}^3 $, allowing a very general geometric behavior of its boundary. Our method exploits the connections between this system and some classes of second order partial differential equations arising in Clifford analysis.
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Ricardo Abreu Blaya, J. A. Mendez-Bermudez, Arsenio Moreno García, José M. Sigarreta. Boundary value problems for the Lamé-Navier system in fractal domains[J]. AIMS Mathematics, 2021, 6(10): 10449-10465. doi: 10.3934/math.2021606
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