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Damped wave equations with dynamic boundary conditions
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Delio Mugnolo
Published/Copyright:
November 5, 2011
Abstract
We discuss several classes of linear second order initial-boundary value problems in which damping terms appear in the main wave equation and/or in the dynamic boundary condition. We investigate their well-posedness and describe some qualitative properties of their solutions, like boundedness and stability. In particular, we provide sufficient conditions for analyticity, boundedness, asymptotic almost periodicity and exponential stability of certain C0-semigroups associated to such problems.
Keywords.: Second order damped initial-boundary value problems; operator matrices; dynamical or Wentzell boundary conditions; semigroups of operators
Received: 2009-02-24
Revised: 2010-05-17
Accepted: 2010-08-12
Published Online: 2011-11-05
Published in Print: 2011-December
© de Gruyter 2011
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