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

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Joachim Krieger
2021

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.

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https://infoscience.epfl.ch/entities/publication/b31d6b4a-aff8-458f-8f86-3c4b7cfe1a72

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