\(L_2(\Sigma)\)-regularity of the boundary to boundary operator \(B^*L\) for hyperbolic and Petrowski PDEs

DOI10.1155/S1085337503305032zbMath1064.35100MaRDI QIDQ1773485

Publication date: 29 April 2005

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51358

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (23)

Long-time dynamics of ternary mixtures with localized dissipation ⋮ On well-posedness, regularity and exact controllability for problems of transmission of plate equation with variable coefficients ⋮ Regularity of an Euler-Bernoulli equation with Neumann control and collocated observation ⋮ Comments on ``Controllability of the wave equation with bilinear controls ⋮ Input-output \(L^2\)-well-posedness, regularity and Lyapunov stability of string equations on networks ⋮ Well-posedness and regularity of Euler-Bernoulli equation with variable coefficient and Dirichlet boundary control and collocated observation ⋮ Strong stabilization of (almost) impedance passive systems by static output feedback ⋮ Well-posedness and regularity for non-uniform Schrödinger and Euler-Bernoulli equations with boundary control and observation ⋮ Approximate moving horizon estimation for switching conservative linear infinite-dimensional systems ⋮ Infinite-dimensional Luenberger-like observers for a rotating body-beam system ⋮ Carleman Inequalities for Wave Equations with Oscillatory Boundary Conditions and Application ⋮ Nonuniform stability of damped contraction semigroups ⋮ Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains ⋮ Regularity for Euler-Bernoulli equations with boundary control and collocated observation ⋮ Conservative Control Systems Described by the Schrödinger Equation ⋮ Well-posedness, regularity and exact controllability for the problem of transmission of the Schrödinger equation ⋮ Uniform stability for a semilinear non-homogeneous Timoshenko system with localized nonlinear damping ⋮ Well-posedness and regularity for an Euler-Bernoulli plate with variable coefficients and boundary control and observation ⋮ IMPROVING CONVERGENCE IN NUMERICAL ANALYSIS USING OBSERVERS — THE WAVE-LIKE EQUATION CASE ⋮ Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping ⋮ Rate of decay of solutions of the wave equation with arbitrary localized nonlinear damping ⋮ Linear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control → Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay Rates

This page was built for publication: \(L_2(\Sigma)\)-regularity of the boundary to boundary operator \(B^*L\) for hyperbolic and Petrowski PDEs