Abstract

In this paper, we address the regularity of weak solutions to a crane model subject to nonlinear boundary feedback and distributed viscous damping, considered up to sets of measure zero. Based on the weak formulation of the system, the Faedo-Galerkin method is applied to prove existence and uniqueness of solutions. The use of suitable intermediate spaces then allows us to enhance regularity results and establish additional differentiability properties, offering a more precise characterization of the system's dynamics and a solid foundation for subsequent numerical analysis.

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