## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- The AMSI-ANU workshop on spectral theory and harmonic analysis. Andrew Hassell, Alan McIntosh and Robert Taggart, eds. Proceedings of the Centre for Mathematics and its Applications, v. 44. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2010), 233 - 243

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

Zhenqiu Zhang and Shijun Zheng

#### 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.

#### Article information

**Dates**

First available in Project Euclid:
18 November 2014

**Permanent link to this document**

https://projecteuclid.org/
euclid.pcma/1416320880

**Mathematical Reviews number (MathSciNet)**

MR2655381

**Zentralblatt MATH identifier**

1230.35081

#### Citation

Zhang, Zhenqiu; Zheng, Shijun. Strichartz Estimates and Local Wellposedness for the Schrödinger Equation with the Twisted Sub-Laplacian. The AMSI–ANU Workshop on Spectral Theory and Harmonic Analysis, 233--243, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 2010. https://projecteuclid.org/euclid.pcma/1416320880