Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group
Giulia Furioli ; Alessandro Veneruso
Studia Mathematica, Tome 162 (2004), p. 157-178 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:285014 
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     pages = {157-178},
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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 162 (2004) pp. 157-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-2-4/