Wave equation for 2D Landau Hamiltonian

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.

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References in corpus (2)

• Discrete coherent states for higher Landau levels
• Wave equation for sums of squares on compact Lie groups