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Abstract: We discuss a Hilbert space method that allows to prove analyticalwell-posedness of a class of linear strongly damped wave equations. The maintechnical tool is a perturbation lemma for sesquilinear forms, which seems tobe new. In most common linear cases we can furthermore apply a recent resultdue to Crouzeix-Haase, thus extending several known results and obtainingoptimal analyticity angle.



Author: Delio Mugnolo

Source: https://arxiv.org/







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