We define an abstract setting to treat wave equations equipped with time‐dependent
acoustic boundary conditions on bounded domains of Rn. We prove a well‐posedness …

We develop a semigroup approach to abstract boundary control problems which allows to
characterize the space of all approximately reachable states. We then introduce the …

We consider a linear system of PDEs of the form 1 & u_ tt-c Δ u_t-Δ u &= 0\quad
in\varOmega * (0, T)\u_ tt+\partial_n (u+ cu_t)-\Delta_\varGamma (c α u_t+ u) &= 0\quad …

In this paper, we study a semilinear weakly damped wave equation equipped with an
acoustic boundary condition. The problem can be considered as a system consisting of the …

We discuss several classes of linear second order initial-boundary value problems in which
dam** terms appear in the main wave equation and/or in the dynamic boundary condition …

We introduce an abstract setting that allows to discuss wave equations with time-dependent
boundary conditions by means of operator matrices. We show that such problems are well …

We survey some known results about operator semigroup generated by operator matrices
with diagonal or coupled domain. These abstract results are applied to the characterization …

We consider the Dirichlet-to-Neumann operator associated to a strictly elliptic operator on
the space C (∂ M) of continuous functions on the boundary∂ M of a compact manifold M¯ …

This thesis applies the abstract theory of operator matrices with non-diagonal domains to
(undamped and damped) second order problems with several types of dynamical (ie, time …

On the Convergence to Stationary Solutions for a Semilinear Wave Equation with an Acoustic
Boundary Condition Page 1 Zeitschrift für Analysis und ihre Anwendungen c European …