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In this paper we use a property of the extension operator from the space oftangential traces of ${\rm H}({\rm curl};\Omega)$ in the context of the linearrelaxed micromorphic model, a theory which is recently used to describe thebehaviour of some metamaterials showing unorthodox behaviors with respect toelastic wave propagation. We show that the new property is important forexistence results of strong solution for non-homogeneous boundary condition inboth the dynamic and the static case.

Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model