Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group

Giulia Furioli; Alessandro Veneruso

Studia Mathematica (2004)

  • Volume: 160, Issue: 2, page 157-178
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Giulia Furioli, and Alessandro Veneruso. "Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group." Studia Mathematica 160.2 (2004): 157-178. <http://eudml.org/doc/285014>.

@article{GiuliaFurioli2004,
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.},
author = {Giulia Furioli, Alessandro Veneruso},
journal = {Studia Mathematica},
keywords = {Heisenberg group; Strichartz inequalities; Schrödinger equation; full Laplacian},
language = {eng},
number = {2},
pages = {157-178},
title = {Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group},
url = {http://eudml.org/doc/285014},
volume = {160},
year = {2004},
}

TY - JOUR
AU - Giulia Furioli
AU - Alessandro Veneruso
TI - Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group
JO - Studia Mathematica
PY - 2004
VL - 160
IS - 2
SP - 157
EP - 178
AB - 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.
LA - eng
KW - Heisenberg group; Strichartz inequalities; Schrödinger equation; full Laplacian
UR - http://eudml.org/doc/285014
ER -

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