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

• Autorzy: Giulia Furioli , Alessandro Veneruso
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 22E25: Nilpotent and solvable Lie groups
• 58J35: Heat and other parabolic equation methods
• 35B65: Smoothness and regularity of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 160
• Numer: 2
• Strony: 157-178

Daty

wydano

2004

Twórcy

autor

Giulia Furioli

• Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, I-16146 Genova, Italy

autor

Alessandro Veneruso

• Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, I-16146 Genova, Italy

Identyfikatory

DOI

10.4064/sm160-2-4