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A Variational Approach to Strongly Damped Wave Equations

In: Functional Analysis and Evolution Equations

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  • Delio Mugnolo

    (Universität Ulm, Institut für Angewandte 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.

Suggested Citation

  • Delio Mugnolo, 2007. "A Variational Approach to Strongly Damped Wave Equations," Springer Books, in: Herbert Amann & Wolfgang Arendt & Matthias Hieber & Frank M. Neubrander & Serge Nicaise & Joachim vo (ed.), Functional Analysis and Evolution Equations, pages 503-514, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-7794-6_30
    DOI: 10.1007/978-3-7643-7794-6_30
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