Proceedings of the Centre for Mathematics and its Applications

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

Zhenqiu Zhang and Shijun Zheng

Full-text: Open access

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

Source
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

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


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