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A multilinear approach to the restriction problem with applications to geometric measure theory, the Schrödinger equation and inverse problems

Project description

Multilinear restriction analysis applied to the Schrödinger equation

The Fourier transform is a mathematical operation that can be used to decompose a function into its constituting frequencies, making it essential in many areas of physics and engineering. An important open problem in harmonic analysis is Stein's Fourier restriction conjecture, which attempts to interpret the situation after many frequencies have been discarded. The recently discovered multilinear estimates have rapidly become a key tool in Fourier restriction theory. Funded by the Marie Skłodowska-Curie Actions programme, the RESTRICTIONAPP project aims to further develop multilinear restriction estimates, with explicit dependence on transversality, and apply them to the Schrödinger equation, to inverse problems as well as to several problems in geometric measure theory.

Coordinator

AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Net EU contribution
€ 172 932,48
Address
Calle Serrano 117
28006 Madrid
Spain

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Region
Comunidad de Madrid Comunidad de Madrid Madrid
Activity type
Research Organisations
Other funding
€ 0,00