Publication
Randomization improved Strichartz estimates and global well-posedness for supercritical data
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 wellposedness for a wave maps type nonlinear wave equation for certain supercritical data, provided the data are suitably small and randomised.
Official source
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