Burq, NicolasKrieger, Joachim2019-02-202019-02-202019-02-20202110.5802/aif.3448https://infoscience.epfl.ch/handle/20.500.14299/1545771902.06987We 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.wave equationStrichartz estimatesrandomised dataRandomization improved Strichartz estimates and global well-posedness for supercritical datatext::journal::journal article::research article