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arXiv · 0808.0213

Damped wave equations with dynamic boundary conditions

Delio Mugnolo
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Abstract

We discuss several classes of linear second order initial-boundary value problems, where damping terms appear in the main wave equation as well as in the dynamic boundary condition. We investigate their well-posedness and describe some qualitative properties of their solutions, including boundedness, stability, or almost periodicity. In particular, we are able to characterize the analyticity of certain $C_0$-semigroups associated to such problems. Applications to several problems on domains and networks are shown.

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Delio Mugnolo. 2008-08-01. Damped wave equations with dynamic boundary conditions. https://doi.org/10.1515/jaa.2011.015

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