Optimal Bilinear Restriction Estimates for General Hypersurfaces and the Role of the Shape Operator

DOI10.1093/IMRN/RNW223zbMath1405.53031arXiv1601.01000OpenAlexW2962777349MaRDI QIDQ4612087

Ioan Bejenaru

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01000

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Multipliers for harmonic analysis in several variables (42B15) Local submanifolds (53B25)

Related Items (8)

Optimal multilinear restriction estimates for a class of hypersurfaces with curvature ⋮ A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning ⋮ On the division problem for the wave maps equation ⋮ Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system ⋮ Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid ⋮ A note on bilinear wave-Schrödinger interactions ⋮ Multi-scale bilinear restriction estimates for general phases ⋮ On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid

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