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research article
Randomization improved Strichartz estimates and global well-posedness for supercritical data
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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Name
RandomStrichartz7.pdf
Type
preprint
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openaccess
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copyright
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225.1 KB
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Adobe PDF
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16023cdcc4db023e2cf7a2ce3635c0e7