RESTRICTION
Restriction of the Fourier transform with applications to the Schrödinger and wave equations
| Coordinatore | AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | Spain [ES] |
| Totale costo | 950˙000 € |
| EC contributo | 950˙000 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2011-StG_20101014 |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2011 |
| Periodo (anno-mese-giorno) | 2011-09-01 - 2016-08-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Organization address
address: CALLE SERRANO 117 contact info |
ES (MADRID) | hostInstitution | 950˙000.00 |
| 2 |
AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Organization address
address: CALLE SERRANO 117 contact info |
ES (MADRID) | hostInstitution | 950˙000.00 |
Mappa
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Obiettivo del progetto (Objective)
'In 1967, Stein proved that the Fourier transform of functions in L^p could be meaningfully restricted to the sphere for certain p>1. The restriction conjecture, which asserts the maximal range of such p, was solved by Fefferman in two dimensions, but the conjecture remains open in higher dimensions. Strichartz considered the same question but with the sphere replaced by the paraboloid or the cone, and a great deal of progress has been made in the last two decades by Bourgain, Wolff and Tao, among others. Due to the fact that the adjoint operators of the restriction operators to the paraboloid and cone correspond to the Schrödinger and wave evolution operators, respectively, this work has been hugely influential. The main goal of this proposal is to improve the state of the art for the mixed norm analogues of these conjectures.'