Abstract wave equations with acoustic boundary conditions

Delio Mugnolo · Mathematische Nachrichten · 2005

Abstract We define an abstract setting to treat wave equations equipped with time‐dependent acoustic boundary conditions on bounded domains of R n . We prove a well‐posedness result and develop a spectral theory which also allows to prove a conjecture proposed in [13]. Concrete problems are also discussed. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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