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arXiv · 0903.2599

A variational approach to strongly damped wave equations

Delio Mugnolo
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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.

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Delio Mugnolo. 2009-03-15. A variational approach to strongly damped wave equations. https://doi.org/10.1007/978-3-7643-7794-6_30

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