A variational approach to strongly damped wave equations

Details A variational approach to strongly damped wave equations A variational approach to strongly damped wave equations

2009-03-15

arxiv.org/abs/0903.2599v1

Mathematics

Analysis of PDEs

This is an extended version of an article appeared in \emph{Functional Analysis and Evolution Equations -- The G\"unter Lumer

Scientific paper

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.

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