Wave equation for 2D Landau Hamiltonian
Mathematical Physics
2016-10-12 v2 Analysis of PDEs
Functional Analysis
math.MP
Abstract
This note is devoted to the study of the well-posedness of the Cauchy problem for the Landau Hamiltonian wave equation in the plane, with nonzero constant magnetic field. We show the well-posedness in suitably defined Sobolev spaces taking into account the spectral properties of the operator.
Cite
@article{arxiv.1610.02349,
title = {Wave equation for 2D Landau Hamiltonian},
author = {Michael Ruzhansky and Niyaz Tokmagambetov},
journal= {arXiv preprint arXiv:1610.02349},
year = {2016}
}
Comments
10 pages. the correct version is uploaded