Well Posedness for a Class of Flexible Structure in Hölder Spaces

الملخص EN

We characterize well-posedness in Hölder spaces for an abstract version of the equation (∗) u′′+λu′′′=c2(Δu+μΔu′)+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 provided 0<λ<μ.