Damped wave equations with dynamic boundary conditions

DOI10.1515/jaa.2011.015zbMath1276.47056arXiv0808.0213OpenAlexW2137344917MaRDI QIDQ2865589

Delio Mugnolo

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0213

zbMATH Keywords

semigroups of operatorsoperator matricesdynamical or Wentzell boundary conditionssecond order damped initial-boundary value problems

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06)

Related Items (8)

Well-posedness and exponential stability of boundary control systems with dynamic boundary conditions ⋮ On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources ⋮ Mixed problem with dynamical boundary condition for a one-dimensional wave equation with strong dissipation ⋮ Existence and asymptotic behavior of the wave equation with dynamic boundary conditions ⋮ On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source ⋮ Analyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions ⋮ Asymptotics of semigroups generated by operator matrices ⋮ Dynamic boundary systems with boundary feedback and population system with unbounded birth process

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