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arXiv · 1902.06987

Randomization improved Strichartz estimates and global well-posedness for supercritical data

Nicolas Burq·Joachim Krieger
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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.

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Nicolas Burq, Joachim Krieger. 2019-02-19. Randomization improved Strichartz estimates and global well-posedness for supercritical data. https://arxiv.org/abs/1902.06987

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