Non-linear Schrödinger equation in a uniform magnetic field
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Publication:2055115
DOI10.4171/ECR/18-1/14zbMath1479.35797arXiv2010.12961OpenAlexW4246625302MaRDI QIDQ2055115
Thomas F. Kieffer, Michael Loss
Publication date: 3 December 2021
Full work available at URL: https://arxiv.org/abs/2010.12961
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Second-order parabolic equations (35K10) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Cites Work
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- Endpoint Strichartz estimates for the magnetic Schrödinger equation
- Magnetic virial identities, weak dispersion and Strichartz inequalities
- Schrödinger operators with magnetic fields. I: General interactions
- Magnetic virial identities and applications to blow-up for Schrödinger and wave equations
- Finite time blow-up for some nonlinear Schrödinger equations with an external magnetic field
- On sharp Strichartz inequalities in low dimensions
- Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Schrödinger operators with singular magnetic vector potentials