arXiv:1902.06987 Abstract | arXiv Analytics

arXiv:1902.06987 [math.AP]Abstract References Reviews Resources

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

Published 2019-02-19Version 1

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.

Categories: math.AP

Subjects: 35L05, 35B40

Keywords: strichartz estimates, global well-posedness, supercritical data, maps type nonlinear wave equation, wave maps type nonlinear wave

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