On the well-posedness and regularity of the wave equation with variable coefficients
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Publication:5425991
DOI10.1051/cocv:2007040zbMath1147.35051OpenAlexW2158509189MaRDI QIDQ5425991
Publication date: 15 November 2007
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=COCV_2007__13_4_776_0
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Cites Work
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- Regularity of an Euler-Bernoulli equation with Neumann control and collocated observation
- Uniform exponential energy decay of wave equations in a bounded region with \(L_ 2(0,\infty;L_ 2(\Gamma))\)-feedback control in the Dirichlet boundary conditions
- Non homogeneous boundary value problems for second order hyperbolic operators
- Exact boundary controllability on \(L_ 2(\Omega)\times H^{-1}(\Omega)\) of the wave equation with Dirichlet boundary control acting on a portion of the boundary \(\partial \Omega\), and related problems
- Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator
- The operator \(B^*L\) for the wave equation with Dirichlet control
- Regular linear systems governed by a boundary controlled heat equation
- On the controllability of wave models with variable coefficients: a numerical investigation
- Regularity of a Schrödinger equation with Dirichlet control and colocated observation
- Optimizability and Estimatability for Infinite-Dimensional Linear Systems
- The Regularity of the Wave Equation with Partial Dirichlet Control and Colocated Observation
- Singularities of boundary value problems. I
- Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
- Stabilization of second order evolution equations by a class of unbounded feedbacks
- The Salamon-Weiss class of well-posed infinite-dimensional linear systems: a survey
- How to Get a Conservative Well-Posed Linear System Out of Thin Air. Part II. Controllability and Stability
- Well-Posedness of Boundary Control Systems
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
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