Stabilization of the wave equation on larger-dimension tori with rough dampings

DOI10.2140/PAA.2024.6.487zbMATH Open1540.35065MaRDI QIDQ6542411

Marc Rouveyrol

Publication date: 22 May 2024

Published in: Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

wave equationstabilizationsecond microlocalizationgeometric controlthird microlocalization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Cites Work

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• Control for Schrödinger operators on tori
• Semi-classical estimates for the resolvent in nontrapping geometries
• Laplace Eigenfunctions and Damped Wave Equation on Product Manifolds
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Decay of solutions to nondissipative hyperbolic systems on compact manifolds
• Mesures semi-classiques 2 -microlocales
• Stabilization of damped waves on spheres and Zoll surfaces of revolution

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