Randomization improved Strichartz estimates and global well-posedness for supercritical data
Analysis of PDEs
2019-02-20 v1
Abstract
We introduce a novel data randomisation for the free wave equation which leads to the same range of Strichartz estimates as for radial data, albeit in a non-radial context. We then use these estimates to establish global well-posedness for a wave maps type nonlinear wave equation for certain supercritical data, provided the data are suitably small and randomised.
Cite
@article{arxiv.1902.06987,
title = {Randomization improved Strichartz estimates and global well-posedness for supercritical data},
author = {Nicolas Burq and Joachim Krieger},
journal= {arXiv preprint arXiv:1902.06987},
year = {2019}
}