Geometric and probabilistic results for the observability of the wave equation

DOI10.5802/JEP.186zbMath1485.93086OpenAlexW2783730494MaRDI QIDQ2117997

Emmanuel Humbert, Yannick Privat, Emmanuel Trélat

Publication date: 22 March 2022

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jep.186

zbMATH Keywords

observabilitywave equationRiemannian geometryrandom set

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Wave equation (35L05) Geodesics in global differential geometry (53C22) Convergence of probability measures (60B10)

Cites Work

• Stabilization of wave equations on the torus with rough dampings
• The geometrical quantity in damped wave equations on a square
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
• A Panoramic View of Riemannian Geometry
• Second Microlocalization and Stabilization of Damped Wave Equations on Tori
• Observability properties of the homogeneous wave equation on a closed manifold
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