Damped wave equations with dynamic boundary conditions

• Autorzy: Mugnolo D.
• Języki publikacji: EN

Abstrakty

EN

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 C 0-semigroups associated to such problems.

Słowa kluczowe

EN

second order damped initial-boundary value problems; operator matrices; dynamical or Wentzell boundary conditions; semigroups of operators

PL

zagadnienie brzegowe; macierz operacyjna; warunki brzegowe

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2011
• Tom: Vol. 17, nr 2
• Strony: 241--275
• Opis fizyczny: Bibliogr. 45 poz.

Twórcy

autor

Mugnolo D.

• Institut fur Analysis, Universitat Ulm, Helmholtzstrasse 18, 89081 Ulm, Germany

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