Energy decay for the damped wave equation under a pressure condition

DOI10.1007/s00220-010-1105-9zbMath1207.35064arXiv0909.2093OpenAlexW1976663487MaRDI QIDQ609536

Emmanuel Schenck

Publication date: 1 December 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2093

zbMATH Keywords

spectral gapenergy decaydamped wave equationmanifold with negative curvature

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (13)

Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation ⋮ Semiclassical asymptotics for nonselfadjoint harmonic oscillators ⋮ Decay of semilinear damped wave equations: cases without geometric control condition ⋮ Eigenmodes of the damped wave equation and small hyperbolic subsets ⋮ Mathematical study of scattering resonances ⋮ Smoothing Effect for the Regularized Schrödinger Equation with Non-Controlled Orbits ⋮ Delocalization of slowly damped eigenmodes on Anosov manifolds ⋮ Spectral deviations for the damped wave equation ⋮ From resolvent estimates to damped waves ⋮ Damped wave equations on compact hyperbolic surfaces ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets ⋮ Boundary stabilization of transmission problems ⋮ Control of eigenfunctions on surfaces of variable curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum decay rates in chaotic scattering
• Semiclassical non-concentration near hyperbolic orbits
• Riemannian manifolds with geodesic flow of Anosov type
• Eigenfrequencies and expansions for damped wave equations
• Entropy and the localization of eigenfunctions
• Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
• Semiclassical Resolvent Estimates in Chaotic Scattering
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Decay of solutions to nondissipative hyperbolic systems on compact manifolds
• The Spectrum of the Damped Wave Operator for a Bounded Domain inR²
• Fourier integral operators
• Asymptotic distribution of eigenfrequencies for damped wave equations

This page was built for publication: Energy decay for the damped wave equation under a pressure condition