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.
Recommended Citation
Zhang, Zhenqiu, Shijun Zheng.
2010.
"Strichartz Estimates and Local Wellposedness for the Schrödinger Equation with the Twisted Sub-Laplacian."
Proceedings of the Centre for Mathematics and Its Applications, Andrew Hassell, Alan McIntosh, and Robert Taggart (Ed.), 44: 233-243 Canberra, Australia: Australian National University.
source: http://maths-proceedings.anu.edu.au/044/CMAproc44-zhang_zheng-href.pdf
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/257
