Maximal regularity for the Lamé system in certain classes of non-smooth domains
Abstract
The aim of this article is twofold. On the one hand, we study the analyticity of the semigroup generated by the Lamé system in an open subset of R^n satisfying mild regularity assumptions and the Lamé moduli are such that the Lamé operator is elliptic. On the other hand, we use the aforementioned result to prove a maximal regularity property for the time-dependent Lamé system equipped with a homogeneous Dirichlet boundary condition.
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