Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds
From MaRDI portal
Publication:821488
DOI10.1215/00127094-2020-0080zbMath1473.35040arXiv1810.01711OpenAlexW3183378660WikidataQ114060427 ScholiaQ114060427MaRDI QIDQ821488
Nicolas Burq, Jean-Marc Bouclet
Publication date: 20 September 2021
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.01711
Klein-Gordon equationdispersive PDEsMourre estimatespropagation estimatessharp time-decay estimateswave decay
Asymptotic behavior of solutions to PDEs (35B40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Wave equation (35L05) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items
Dispersive equations on asymptotically conical manifolds: time decay in the low-frequency regime, A sharp version of Price's law for wave decay on asymptotically flat spacetimes, On the exponential time-decay for the one-dimensional wave equation with variable coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case.
- Quantum decay rates in chaotic scattering
- Asymptotic expansion in time of the Schrödinger group on conical manifolds
- Carleman estimates and absence of embedded eigenvalues
- A proof of the abstract limiting absorption principle by energy estimates
- Positive commutators at the bottom of the spectrum
- A remark on the micro-local resolvent estimates for two body Schrödinger operators
- Autour de l'approximation semi-classique. (Around semiclassical approximation)
- Upper bounds for symmetric Markov transition functions
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Asymptotic expansions in time for solutions of Schrödinger-type equations
- Local decay of scattering solutions to Schrödinger's equation
- Ultracontractivity and Nash type inequalities
- Control of the Schrödinger equation
- Decay of local energy for solutions of the free Schrödinger equation in exterior domains
- Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case
- Propagation of singularities and resonances
- On global Strichartz estimates for non-trapping metrics
- Resolvent at low energy III: The spectral measure
- Local energy decay for several evolution equations on asymptotically euclidean manifolds
- Fourier Analysis and Nonlinear Partial Differential Equations
- Low Frequency Estimates and Local Energy Decay for Asymptotically Euclidean Laplacians
- Continuity of Solutions of Parabolic and Elliptic Equations
- Decay for the wave and Schrödinger evolutions on manifolds with conical ends, Part I
- Propagation Estimates for Schrodinger-Type Operators
- Decay estimates for Schrödinger operators
- Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du laplacien
- Singularities of boundary value problems. I
- Local decay of waves on asymptotically flat stationary space-times
