This paper contains a detailed, self contained and more streamlined proof of the l 2 decoupling theorem for hypersurfaces from the paper of Bourgain and Demeter in 2015. The authors hope this will serve as a good warm up for the readers interested in understanding the proof of Vinogradov’s mean value theorem from the paper of Bourgain, Demeter and Guth in 2015.
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The authors are grateful to Zane Li and Terry Tao for pointing out a few inaccuracies in an earlier version of this manuscript.
Dedicated to Haim Brezis on the occasion of his 70th birthday
This work was supported by the NSF Grant DMS-1301619 and the NSF Grant DMS-1161752.
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Bourgain, J., Demeter, C. A study guide for the l 2 decoupling theorem. Chin. Ann. Math. Ser. B 38, 173–200 (2017). https://doi.org/10.1007/s11401-016-1066-1
- Restriction theorems
- Multilinear Kakeya inequality
2000 MR Subject Classification