Randomization improved Strichartz estimates and global well-posedness for supercritical data
Burq, Nicolas; Krieger, Joachim
2021

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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 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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Title Randomization improved Strichartz estimates and global well-posedness for supercritical data
Author(s) Burq, Nicolas ; Krieger, Joachim
Published in Annales de l'Institut Fourier
Volume 71
Issue 5
Pages 1929-1961
Date 2021
Keywords
DOI https://doi.org/10.5802/aif.3448
Other identifier(s) View record in ArXiv
Laboratories PDE
Record Appears in Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > PDE - Chair of Partial Differential Equations
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Accepted
Record creation date 2019-02-20

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