Wave equation for 2D Landau Hamiltonian
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🧮 math-ph
math.APmath.FAmath.MP
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equationhamiltonianlandauwavewell-posednessaccountcauchyconstant
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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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