Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
From MaRDI portal
Publication:2013171
DOI10.1016/j.jde.2017.05.018zbMath1378.35115arXiv1612.09586OpenAlexW2571378789MaRDI QIDQ2013171
Luca Fanelli, Federico Cacciafesta
Publication date: 3 August 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.09586
Related Items (13)
Dispersive estimates for 2D-wave equations with critical potentials ⋮ Global Strichartz estimates for the Dirac equation on symmetric spaces ⋮ Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications ⋮ Time-frequency analysis of the Dirac equation ⋮ Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications ⋮ Strichartz estimates for the 2D and 3D massless Dirac-Coulomb equations and applications ⋮ 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 ⋮ Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities ⋮ Hankel transforms and weak dispersion ⋮ A Dirac field interacting with point nuclear dynamics ⋮ Decay and Strichartz estimates in critical electromagnetic fields ⋮ Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions
- Time decay of scaling critical electromagnetic Schrödinger flows
- Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows
- Virial identity and weak dispersion for the magnetic Dirac equation
- Global small solutions to the critical radial Dirac equation with potential
- Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials
- Harmonic analysis as spectral theory of Laplacians
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- Self-adjointness of the two-dimensional massless Dirac Hamiltonian and vacuum polarization effects in the background of a singular magnetic vortex.
- Almost global existence for some semilinear wave equations
- \(L^p\) estimates for the wave equation with the inverse-square potential
- Endpoint estimates and global existence for the nonlinear Dirac equation with potential
- On the lack of dispersion for a class of magnetic Dirac flows
- Generalized and weighted Strichartz estimates
- Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
- Kato smoothing and Strichartz estimates for wave equations with magnetic potentials
- Time decay of scaling invariant electromagnetic Schrödinger equations on the plane
- Oszillationsmethoden für Systeme gewöhnlicher Differentialgleichungen
- Hamiltonian self-adjoint extensions for (2+1)-dimensional Dirac particles
- COUNTEREXAMPLES TO STRICHARTZ ESTIMATES FOR THE MAGNETIC SCHRÖDINGER EQUATION
- Fermions in scalar Coulomb and Aharonov–Bohm potentials in 2+1 dimensions
- Weighted Strichartz estimates with angular regularity and their applications
- Significance of Electromagnetic Potentials in the Quantum Theory
- Decay estimates for the wave and Dirac equations with a magnetic potential
- Bessel Functions: Monotonicity and Bounds
- A weighted uniform $L^{p}$--estimate of Bessel functions: A note on a paper of Guo
- Counterexamples of Strichartz inequalities for Schrodinger equations with repulsive potentials
- Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
- STRICHARTZ ESTIMATES FOR WAVE EQUATION WITH INVERSE SQUARE POTENTIAL
This page was built for publication: Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
