Abstract
We obtain Strichartz estimates for the linear Schrödinger equation associated with the twisted sub-Laplacian on $\mathbb C^n$.As a consequence, we prove the local wellposedness for semilinear Schrödinger equation with polynomial nonlinearity in certain magnetic field.
Information
Published: 1 January 2010
First available in Project Euclid: 18 November 2014
zbMATH: 1230.35081
MathSciNet: MR2655381
Rights: Copyright © 2010, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
