Abstract wave equations with acoustic boundary conditions

Details Abstract wave equations with acoustic boundary conditions Abstract wave equations with acoustic boundary conditions

2010-08-02

arxiv.org/abs/1008.0293v2

Mathematische Nachrichten 279 (2006), 299-318

Mathematics

Analysis of PDEs

21 pages. A few minor bugs appearing in the journal version have been fixed

Scientific paper

We define an abstract setting to treat wave equations equipped with
time-dependent acoustic boundary conditions on bounded domains of ${\bf R}^n$.
We prove a well-posedness result and develop a spectral theory which also
allows to prove a conjecture proposed in (Gal-Goldstein-Goldstein, J. Evol.
Equations 3 (2004), 623-636). Concrete problems are also discussed.

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