Nonlinear Schr\"odinger equation with bounded magnetic field
Analysis of PDEs
2019-11-14 v2
Abstract
The paper studies existence of solutions for the nonlinear Schr\"odinger equation with a general bounded external magnetic field. In particular, no lattice periodicity of the magnetic field or presence of external electric field is required. Solutions are obtained by means of a general structural statement about bounded sequences in the magnetic Sobolev space.
Cite
@article{arxiv.1911.01657,
title = {Nonlinear Schr\"odinger equation with bounded magnetic field},
author = {Giuseppe Devillanova and Cyril Tintarev},
journal= {arXiv preprint arXiv:1911.01657},
year = {2019}
}