Stabilisation Neumann pour l'équation des ondes dans un domaine extérieur. (Neumann stabilization for the wave equation in an exterior domain)

DOI10.1016/S0021-7824(02)01261-8zbMath1029.35035MaRDI QIDQ1406927

Lassaad Aloui

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

exponential decay of the local energymicrolocal geometric conditionNeumann dampingodd dimension space

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Wave equation (35L05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (10)

Boundary partial stabilization of a coupled wave equations on an exterior bounded obstacle ⋮ Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations ⋮ Asymptotic Stability for the Damped Schrödinger Equation on Noncompact Riemannian Manifolds and Exterior Domains ⋮ Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains ⋮ Interior stabilization of electromagnetic waves in an exterior domain ⋮ Exponential decay for the Schrödinger equation on a dissipative waveguide ⋮ Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces ⋮ Uniform decay rate estimates for the wave equation in an inhomogeneous medium with simultaneous interior and boundary feedbacks ⋮ Stabilization of electromagnetic waves on an exterior bounded obstacle 2D. ⋮ Exact controllability for the Lamé system

Cites Work

• Singularities and energy decay in acoustical scattering
• Stabilization of the wave equation by the boundary
• Ergodic properties of eigenfunctions for the Dirichlet problem
• Singularities of boundary value problems. II
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
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