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arXiv · 1911.01657

Nonlinear Schr\"odinger equation with bounded magnetic field

Giuseppe Devillanova·Cyril Tintarev
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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.

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Giuseppe Devillanova, Cyril Tintarev. 2019-11-05. Nonlinear Schr\"odinger equation with bounded magnetic field. https://arxiv.org/abs/1911.01657

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