Semi-Classical Observation Suffices for Observability: Wave and Schrödinger Equations

DOI10.1051/cocv/2023069arXiv2306.00536OpenAlexW4379767021MaRDI QIDQ6192287

Belhassen Dehman, Unnamed Author, Nicolas Burq

Publication date: 11 March 2024

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

Full work available at URL: https://arxiv.org/abs/2306.00536

zbMATH Keywords

observabilitywave equationSchrödinger equationfrequency filtering

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Observability (93B07) Wave equation (35L05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Non homogeneous boundary value problems for second order hyperbolic operators
• Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves
• Control of the Schrödinger equation
• Weak observability estimates for 1-D wave equations with rough coefficients
• Uniqueness theorems for second order elliptic differential equations
• Analysis of the HUM Control Operator and Exact Controllability for Semilinear Waves in Uniform Time
• Fast and strongly localized observation for the Schrödinger equation
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Geometric control in the presence of a black box
• Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
• Observability properties of the homogeneous wave equation on a closed manifold
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