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^infty norm of the free solution; this requires a careful analysis due also to the non-homogeneous nature of the full Laplacian.
Strichartz inequalities fort the Schrödinger equation with the full Laplacian on the Heisenberg group
FURIOLI, Giulia Maria Dalia;
2004-01-01
Abstract
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^infty norm of the free solution; this requires a careful analysis due also to the non-homogeneous nature of the full Laplacian.File allegato/i alla scheda:
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