Observability inequalities in Sobolev spaces for the wave equation with variable coefficients

DOI10.1134/S1064562412060300zbMath1396.93026OpenAlexW2051437877MaRDI QIDQ1945185

Yanyan Li

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412060300

zbMATH Keywords

one space dimensionboundary controlsreverse-time initial-boundary value problem

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Observability (93B07)

Cites Work

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• Approximation of the Dirichlet control problem and the dual problem with irregular Neumann observations for the wave equation
• Optimization of the boundary control of string vibrations in the excitation problem with a fixed endpoint in the class \(W_{2}^{2}\)
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Optimization of boundary controls of string vibrations
• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation

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