Dispersive decay for the nonlinear magnetic Schrödinger equation
DOI10.1016/J.NA.2021.112743zbMath1490.35458OpenAlexW4200349394MaRDI QIDQ2074919
Publication date: 11 February 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2021.112743
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scattering of solutions to the nonlinear Schrödinger equations with regular potentials
- Nonlinear Schrödinger equations with magnetic fields
- Dispersive estimates for Schrödinger operators in dimensions one and three
- Endpoint Strichartz estimates for the magnetic Schrödinger equation
- Spectral representation for Schrödinger operators with magnetic vector potentials
- Nonlinear scattering theory at low energy
- Nonlinear scattering theory at low energy: Sequel
- Schrödinger evolution equations with magnetic fields
- Local well-posedness and smoothing effects of strong solutions for nonlinear Schrödinger equations with potentials and magnetic fields
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
- Dispersive decay for the magnetic Schrödinger equation
- Resolvent estimates for the magnetic Schrödinger operator in dimensions \(\ge 2\)
- Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential
- Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials
- Dispersive estimates for Schrödinger operators in dimension two
- Lp resolvent estimates for magnetic Schrödinger operators with unbounded background fields
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials
- Dispersive estimates for the Schrodinger equation in dimensions four and five
- Global strong solutions for nonlinear Schrödinger equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Decay estimates for Schrödinger operators
- The nonlinear Schrödinger equation and the nonlinear heat equation reduction to linear form
- Inverse scattering on the line
- Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
- Decay and Scattering of Small Solutions of Pure Power NLS in ℝ with p > 3 and with a Potential
- Dispersive estimates for the three-dimensional Schrodinger equation with rough potentials
- On the Asymptotic Behavior of Nonlinear Wave Equations
This page was built for publication: Dispersive decay for the nonlinear magnetic Schrödinger equation
