From rotating needles to stability of waves: emerging connections between combinatorics, analysis, and pde (2000)
by
Terence Tao
| Venue: | Notices Amer. Math. Soc |
| Citations: | 16 - 5 self |
BibTeX
@ARTICLE{Tao00fromrotating,
author = {Terence Tao},
title = {From rotating needles to stability of waves: emerging connections between combinatorics, analysis, and pde},
journal = {Notices Amer. Math. Soc},
year = {2000},
volume = {48},
pages = {294--303}
}
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Abstract
In 1917 S. Kakeya posed the Kakeya needle problem: What is the smallest area required to rotate a unit line segment (a “needle”) by 180 degrees in the plane? Rotating around the midpoint requires
Citations
| 55 | Recent work connected with the Kakeya problem - Wolff - 1996 |
| 38 | A sharp bilinear cone restriction estimate, to appear - Wolff |
| 33 | Bilinear estimates and applications to nonlinear wave equations, preprint - Klainerman, Selberg |
| 32 | A bilinear approach to cone multipliers - Tao, Vargas |
| 18 | Bounds on arithmetic projections, and applications to the Kakeya conjecture - Katz, Tao - 1999 |
| 13 | Harmonic analysis and combinatorics: How much may they contribute to each other?, Mathematics: Frontiers and perspectives, IMU/Amer - Bourgain |
| 12 | Sums of finite sets, Number Theory: New York Seminar; Springer-Verlag - Ruzsa - 1996 |
