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.
(2004). Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group [journal article - articolo]. In STUDIA MATHEMATICA. Retrieved from https://hdl.handle.net/10446/243315
Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group
Furioli, Giulia;
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∞ 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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