Well-posedness and scattering for a 2D inhomogeneous NLS with Aharonov-Bohm magnetic potential
DOI10.1016/J.JMAA.2024.128662MaRDI QIDQ6612230
Mohamed Majdoub, Tarek Saanouni
Publication date: 30 September 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- A note on global well-posedness and blow-up of some semilinear evolution equations
- Time decay of scaling critical electromagnetic Schrödinger flows
- On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Magnetic virial identities, weak dispersion and Strichartz inequalities
- Schrödinger operators with magnetic fields. I: General interactions
- On the Aharonov-Bohm Hamiltonian
- On the time-dependent Aharonov-Bohm effect
- Energy scattering theory for electromagnetic NLS in dimension two
- Local well-posedness for the inhomogeneous nonlinear Schrödinger equation
- On the inhomogeneous NLS with inverse-square potential
- Decay and Strichartz estimates in critical electromagnetic fields
- Scattering in the weighted \( L^2 \)-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity
- A unified approach for energy scattering for focusing nonlinear Schrödinger equations
- Long time dynamics for the focusing nonlinear Schrödinger equation with exponential nonlinearities
- Scattering theory for NLS with inverse-square potential in 2D
- The covariant, time-dependent Aharonov-Bohm effect
- Time decay of scaling invariant electromagnetic Schrödinger equations on the plane
- Global well-posedness and instability of an inhomogeneous nonlinear Schrödinger equation
- Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field
- Scattering for the two-dimensional NLS with exponential nonlinearity
- Magnetic virial identities and applications to blow-up for Schrödinger and wave equations
- Significance of Electromagnetic Potentials in the Quantum Theory
- ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS
- Endpoint Strichartz estimates
- Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness
- A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
- A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS
- The 𝑊^{𝑠,𝑝}-boundedness of stationary wave operators for the Schrödinger operator with inverse-square potential
- Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity
This page was built for publication: Well-posedness and scattering for a 2D inhomogeneous NLS with Aharonov-Bohm magnetic potential
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612230)
