On the uniqueness of solutions to the 3D periodic Gross-Pitaevskii hierarchy

On the uniqueness of solutions to the 3D periodic Gross-Pitaevskii hierarchy

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Vedran Sohinger, University of Pennsylvania
Fine Hall 314

In this talk, we present a uniqueness result for solutions to the Gross-Pitaevskii hierarchy on the three-dimensional torus, under the assumption of an a priori spacetime bound. We show that this a priori bound is satisfied for factorized solutions coming from a solution of the nonlinear Schrodinger equation, thus obtaining a periodic analogue of the uniqueness result on R3 previously proved by Klainerman and Machedon. This is joint work with Gigliola Staffilani.