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From rotating needles to stability of waves; emerging connections between combinatorics, analysis and PDE | | Terence Tao
; | | Date: |
14 Aug 2000 | | Subject: | Classical Analysis and ODEs; Analysis of PDEs MSC-class: 42B, 35L | math.CA math.AP | | Abstract: | We survey the interconnections between geometric combinatorics (such as the Kakeya problem), arithmetic combinatorics (such as the classical problem of determining which sets contain arithmetic progressions), oscillatory integrals (such as the Bochner-Riesz, restriction, and local smoothing problems), and the local and global well-posedness theory for non-linear dispersive and wave equations. | | Source: | arXiv, math.CA/0008098 | | Services: | Forum | Review | PDF | Favorites | |
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