Sharp Observability Inequalities for Hyperbolic Systems with Potentials

DOI10.1051/cocv/2023087OpenAlexW4389164544MaRDI QIDQ6186400

Xiaoyu Fu, Zhonghua Liao, Qi Lü

Publication date: 2 February 2024

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2023087

zbMATH Keywords

hyperbolic equationCarleman estimateobservability estimate

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Existence theories for optimal control problems involving partial differential equations (49J20) First-order hyperbolic systems (35L40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some sufficient conditions for the controllability of wave equations with variable coefficients
• The analysis of linear partial differential operators. IV: Fourier integral operators
• Carleman estimate for ultrahyperbolic operators and improved interior control for wave equations
• On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
• Explicit observability estimate for the wave equation with potential and its application
• Global Carleman Estimates for Waves and Applications
• Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
• A unified controllability/observability theory for some stochastic and deterministic partial differential equations
• A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations
• Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Fourier Series in Control Theory
• On Carleman and observability estimates for wave equations on time‐dependent domains
• Observability Estimate for the Wave Equation with Variable Coefficients
• Stability for inverse source problems by Carleman estimates
• Carleman Estimates for Second Order Partial Differential Operators and Applications

This page was built for publication: Sharp Observability Inequalities for Hyperbolic Systems with Potentials