Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group
Tom 160 / 2004
Studia Mathematica 160 (2004), 157-178
MSC: 22E25, 35B65, 58J35.
DOI: 10.4064/sm160-2-4
Streszczenie
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.
