A variational approach to strongly damped wave equations
arXiv:0903.2599 · doi:10.1007/978-3-7643-7794-6_30
Abstract
We discuss a Hilbert space method that allows to prove analytical well-posedness of a class of linear strongly damped wave equations. The main technical tool is a perturbation lemma for sesquilinear forms, which seems to be new. In most common linear cases we can furthermore apply a recent result due to Crouzeix--Haase, thus extending several known results and obtaining optimal analyticity angle.
This is an extended version of an article appeared in \emph{Functional Analysis and Evolution Equations -- The Günter Lumer Volume}, edited by H. Amann et al., Birkhäuser, Basel, 2008. In the latest submission to arXiv only some typos have been fixed