Semiclassical resolvent estimates for bounded potentials
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Publication:1728160
DOI10.2140/paa.2019.1.1zbMath1421.35065arXiv1803.02450OpenAlexW3100395284WikidataQ126094277 ScholiaQ126094277MaRDI QIDQ1728160
Publication date: 22 February 2019
Published in: Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.02450
spectral theorysemiclassical analysisCarleman estimateresolvent estimatesemiclassical Schrödinger operatorresonance free region
Second-order elliptic equations (35J15) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Resonance in context of PDEs (35B34)
Related Items (10)
Improved resolvent bounds for radial potentials. II ⋮ Semiclassical estimates for scattering on the real line ⋮ Semiclassical resolvent bound for compactly supporte \(L^\infty\) potentials ⋮ Semiclassical resolvent bounds for short range L ∞ potentials with singularities at the origin ⋮ Semiclassical resolvent bounds for compactly supported radial potentials ⋮ Exponential time‐decay for a one‐dimensional wave equation with coefficients of bounded variation ⋮ Improved resolvent bounds for radial potentials ⋮ Semiclassical resolvent estimates for short-range \(L^\infty\) potentials ⋮ Semiclassical resolvent estimates for Hölder potentials ⋮ Semiclassical resolvent estimates for \(L^\infty\) potentials on Riemannian manifolds
Cites Work
- Resonances for large one-dimensional ``ergodic systems
- Unique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operators
- Finite groups having the same prime graph as the group \(A_{10}\).
- Mathematical study of scattering resonances
- Scale-free uncertainty principles and Wegner estimates for random breather potentials
- Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
- Exponential bounds of the resolvent for a class of noncompactly supported perturbations of the Laplacian
- Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators
- Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II
- Scale-free unique continuation estimates and applications to random Schrödinger operators
- An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators
- On localization in the continuous Anderson-Bernoulli model in higher dimension
- Quantitative limiting absorption principle in the semiclassical limit
- Discrete alloy-type models: Regularity of distributions and recent results
- Lower bounds for shape resonances widths of long range Schrodinger operators
- ON THE POSSIBLE RATE OF DECAY AT INFINITY OF SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
- Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations
- The Landis conjecture for variable coefficient second-order elliptic PDEs
- Semi‐classical resolvent estimates and regions free of resonances
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