A variational approach to strongly damped wave equations
Analysis of PDEs
2019-11-21 v2 Functional Analysis
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.
Cite
@article{arxiv.0903.2599,
title = {A variational approach to strongly damped wave equations},
author = {Delio Mugnolo},
journal= {arXiv preprint arXiv:0903.2599},
year = {2019}
}
Comments
This is an extended version of an article appeared in \emph{Functional Analysis and Evolution Equations -- The G\"unter Lumer Volume}, edited by H. Amann et al., Birkh\"auser, Basel, 2008. In the latest submission to arXiv only some typos have been fixed