Analyticity and Riesz basis property of semigroups associated to damped vibrations

Birgit Jacob, Carsten Trunk, Monika Winklmeier

Second order equations of the form $z^{\prime \prime }+A_{0}z+D{z}^{\prime }=0$ in an abstract Hilbert space are considered. Such equations are often used as a model for transverse motions of thin beams…