Well Posedness for a Class of Flexible Structure in Hölder Spaces

Abstract

We characterize well-posedness in Hölder spaces for an abstract version of the equation (∗) u′′ + λu′′′ = c(∆u + μ∆u′) + f which model the vibrations of flexible structures possessing internal material damping and external force f . As a consequence, we show that in case of the Laplacian with Dirichlet boundary conditions, equation (*) is always well-posed… (More)

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