Uniform resolvent estimates for Schrödinger operators in Aharonov-Bohm magnetic fields
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Publication:2034025
DOI10.1016/j.jde.2021.05.009zbMath1471.35245OpenAlexW3162591803MaRDI QIDQ2034025
Xiaofen Gao, Jialu Wang, Ji Qiang Zheng, Jun Yong Zhang
Publication date: 18 June 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.05.009
resolvent estimatesAharonov-Bohm magnetic fieldlocal smoothing estimatesscaling-critical electromagnetic potential
Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Harmonic analysis and PDEs (42B37)
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Cites Work
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- Schrödinger dispersive estimates for a scaling-critical class of potentials
- Endpoint Strichartz estimates for the magnetic Schrödinger equation
- Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- Non trivial \(L^q\) solutions to the Ginzburg-Landau equation
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
- Dispersive estimates for 2D-wave equations with critical potentials
- Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications
- Kato smoothing and Strichartz estimates for wave equations with magnetic potentials
- Uniform resolvent estimates for Schrödinger operator with an inverse-square potential
- Time decay of scaling invariant electromagnetic Schrödinger equations on the plane
- Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\)
- Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds
- Effective limiting absorption principles, and applications
- Wave operators and similarity for some non-selfadjoint operators
- On the wave equation with a magnetic potential
- Significance of Electromagnetic Potentials in the Quantum Theory
- Decay estimates for the wave and Dirac equations with a magnetic potential
- Decay estimates for Schrödinger operators
- Endpoint Strichartz estimates
- A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
- Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities
- Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
- Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
