Dispersive estimates for 2D-wave equations with critical potentials
From MaRDI portal
Publication:2126011
DOI10.1016/j.aim.2022.108333zbMath1486.42042arXiv2003.10356OpenAlexW3088397655MaRDI QIDQ2126011
Luca Fanelli, Ji Qiang Zheng, Jun Yong Zhang
Publication date: 14 April 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.10356
wave equationdecay estimatesStrichartz estimatesAharonov-Bohm magnetic fieldscaling-critical electromagnetic potential
Wave equation (35L05) PDEs in connection with quantum mechanics (35Q40) Harmonic analysis and PDEs (42B37)
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Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications, Improved time-decay for a class of many-magnetic Schrödinger flows, Uniform resolvent estimates for Schrödinger operators in Aharonov-Bohm magnetic fields, Decay and Strichartz estimates in critical electromagnetic fields
Cites Work
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- Time decay of scaling critical electromagnetic Schrödinger flows
- Heat kernels of two-dimensional magnetic Schrödinger and Pauli operators
- Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds
- Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows
- Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
- Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians
- Agmon-Kato-Kuroda theorems for a large class of perturbations
- Endpoint Strichartz estimates for the magnetic Schrödinger equation
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- Weak dispersive estimates for fractional Aharonov-Bohm-Schrödinger groups
- Frequency-dependent time decay of Schrödinger flows
- Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
- \(L^p\) estimates for the wave equation with the inverse-square potential
- Spectral multipliers for Markov chains
- Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold
- Partial differential equations. 3: Nonlinear equations
- Remarks on endpoint Strichartz estimates for Schrödinger equations with the critical inverse-square potential
- Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
- Diffraction of the Aharonov-Bohm Hamiltonian
- The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials
- Bernstein inequalities via the heat semigroup
- Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications
- 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 dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field
- On the wave equation with a magnetic potential
- A note on the cone restriction conjecture
- COUNTEREXAMPLES TO STRICHARTZ ESTIMATES FOR THE MAGNETIC SCHRÖDINGER EQUATION
- On the diffraction of waves by conical singularities. I
- Significance of Electromagnetic Potentials in the Quantum Theory
- On the diffraction of waves by conical singularities. II
- Decay estimates for the wave and Dirac equations with a magnetic potential
- Endpoint Strichartz estimates
- Riesz transforms for $1\le p\le 2$
- On the number of negative eigenvalues of Schrödinger operators with an Aharonov–Bohm magnetic field
- 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
- Maximal functions associated to filtrations