Some sufficient conditions for the controllability of wave equations with variable coefficients

DOI10.1007/s10440-013-9825-4zbMath1277.93018arXiv1211.4148OpenAlexW2067518496MaRDI QIDQ383611

Yuning Liu

Publication date: 5 December 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4148

zbMATH Keywords

exact controllabilitywave equationvariable coefficientsCarleman estimatefirst order derivatives

Mathematics Subject Classification ID

Controllability (93B05) Observability (93B07) PDEs in connection with control and optimization (35Q93)

Related Items (6)

Observability Estimate for the Wave Equation with Variable Coefficients ⋮ Transformation operators in controllability problems for the wave equations with variable coefficients on a half-axis controlled by the Dirichlet boundary condition ⋮ Transformation operators in the problems of controllability for the degenerate wave equation with variable coefficients ⋮ Sharp Observability Inequalities for Hyperbolic Systems with Potentials ⋮ An internal observability estimate for stochastic hyperbolic equations ⋮ An inverse problem for the Schrödinger equation with variable coefficients and lower order terms

Cites Work

• Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
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