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Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group
2004
Studia Mathematica
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We prove Strichartz inequalities for the solution of the Schrödinger equation related to the full Laplacian on the Heisenberg group. A key point consists in estimating the decay in time of the L ∞ norm of the free solution; this requires a careful analysis due also to the non-homogeneous nature of the full Laplacian. 2000 Mathematics Subject Classification: 22E25, 35B65, 58J35.
doi:10.4064/sm160-2-4
fatcat:uz4ewtan4rdmfc5qhzuti45qoe