Scale invariant Strichartz estimates on tori and applications
Analysis of PDEs
2014-09-15 v1 Classical Analysis and ODEs
Abstract
We prove scale-invariant Strichartz inequalities for the Schrodinger equation on rectangular tori (rational or irrational) in all dimensions. We use these estimates to give a unified and simpler treatment of local well-posedness of the energy-critical nonlinear Schrodinger equation in dimensions three and four.
Cite
@article{arxiv.1409.3603,
title = {Scale invariant Strichartz estimates on tori and applications},
author = {Rowan Killip and Monica Visan},
journal= {arXiv preprint arXiv:1409.3603},
year = {2014}
}