Calculus of Variations and Geometric Measure Theory

A new approach to Hardy's uncertainty principle and applications

Luis Vega ((Universidad Pais Vasco)

created by depascal on 02 Mar 2009

5 mar 2009

Abstract.

Prof. Luis Vega (Universidad Pais Vasco).

Title: A new approach to Hardy's uncertainty principle and applications.

Abstract: Hardy's theorem states that if a function and its Fourier transform decay faster than a given Gaussian then they must vanish. In the talk I'll present some joint work with Escauriaza, Kenig and Ponce where we restate Hardy's result as a uniqueness result for solutions of the free Schrodinger that have a gaussian decay at two different times. Then we extend the result considering perturbations of zero order. Our approach is based on the use of Carleman estimates.