RESTRICTION

Restriction of the Fourier transform with applications to the Schrödinger and wave equations

Coordinatore	AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS    more 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

#	participant	country	role	EC contrib. [€]
1	AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS  Organization address address: CALLE SERRANO 117 city: MADRID postcode: 28006 contact info Titolo: Dr. Nome: Keith Mckenzie Cognome: Rogers Email: send email Telefono: +34 617 907 257	ES (MADRID)	hostInstitution	950˙000.00
2	AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS  Organization address address: CALLE SERRANO 117 city: MADRID postcode: 28006 contact info Titolo: Ms. Nome: Ana Maria Cognome: De La Fuente Email: send email Telefono: +34 91 5681709 Fax: +34 91 5681709	ES (MADRID)	hostInstitution	950˙000.00

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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.'