Title

Strichartz Estimates and Local Wellposedness for the Schrödinger Equation with the Twisted Sub-Laplacian

Document Type

Conference Proceeding

Publication Date

2010

Publication Title

Proceedings of the Centre for Mathematics and Its Applications

ISSN

1328-5076

Abstract

We obtain Strichartz estimates for the linear Schrödinger equation associated with the twisted sub-Laplacian on Cn. As a consequence, we prove the local wellposedness for semilinear Schrödinger equation with polynomial nonlinearity in certain magnetic field.

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