Geodesic
Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group
Giulia Furioli1 ; Alessandro Veneruso1
1Dipartimento di Matematica Università di Genova Via Dodecaneso 35 I-16146 Genova, Italy
Studia Mathematica, Tome 160 (2004) no. 2, pp. 157-178
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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^\infty $ norm of the free solution; this requires a careful analysis due also to the non-homogeneous nature of the full Laplacian.
DOI : 10.4064/sm160-2-4
Keywords: prove strichartz inequalities solution schr dinger equation related full laplacian heisenberg group key point consists estimating decay time infty norm solution requires careful analysis due non homogeneous nature full laplacian

Giulia Furioli  1   ; Alessandro Veneruso  1

1 Dipartimento di Matematica Università di Genova Via Dodecaneso 35 I-16146 Genova, Italy 
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Giulia Furioli; Alessandro Veneruso. Strichartz inequalities for the Schrödinger equation
 with the full Laplacian on the Heisenberg group. Studia Mathematica, Tome 160 (2004) no. 2, pp. 157-178. doi: 10.4064/sm160-2-4

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