Low Frequency Estimates and Local Energy Decay for Asymptotically Euclidean Laplacians
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Publication:3094708
DOI10.1080/03605302.2011.558553zbMath1227.35227arXiv1003.6016OpenAlexW2022978090MaRDI QIDQ3094708
Publication date: 25 October 2011
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.6016
Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)
Related Items (19)
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds ⋮ Local energy decay and smoothing effect for the damped Schrödinger equation ⋮ Morawetz estimates for the wave equation at low frequency ⋮ Energy decay in a wave guide with dissipation at infinity ⋮ Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds ⋮ A system of Schrödinger equations in a wave guide ⋮ Exponential lower resolvent bounds far away from trapped sets ⋮ Semiclassical resolvent bounds for short range L ∞ potentials with singularities at the origin ⋮ Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation ⋮ Local energy decay for Lipschitz wavespeeds ⋮ Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED ⋮ LOCAL DECAY FOR THE DAMPED WAVE EQUATION IN THE ENERGY SPACE ⋮ Local energy decay for the damped wave equation ⋮ Exponential stability of the nonlinear Schrödinger equation with locally distributed damping on compact Riemannian manifold ⋮ Resolvent estimates on symmetric spaces of noncompact type ⋮ Existence and Stability of Schrödinger Solitons on Noncompact Manifolds ⋮ Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case ⋮ Resolvent at low energy III: The spectral measure ⋮ Sharp low frequency resolvent estimates on asymptotically conical manifolds
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