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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Dedicated to the inspiring memory of Günter Lumer
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Mugnolo, D. (2007). A Variational Approach to Strongly Damped Wave Equations. In: Amann, H., Arendt, W., Hieber, M., Neubrander, F.M., Nicaise, S., von Below, J. (eds) Functional Analysis and Evolution Equations. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7794-6_30
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DOI: https://doi.org/10.1007/978-3-7643-7794-6_30
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