A Variational Approach to Strongly Damped Wave Equations

Delio Mugnolo ()
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Delio Mugnolo: Universität Ulm, Institut für Angewandte Analysis

A chapter in Functional Analysis and Evolution Equations, 2007, pp 503-514 from Springer

Abstract: 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.

Keywords: Damped wave equations; sesquilinear forms; analytic semigroups of operators (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_30

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DOI: 10.1007/978-3-7643-7794-6_30

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