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Nonlinear Schrodinger equations and quantum fluids with critical nonlinear and Hartree potentials

Martedi' 28 Febbraio 2012 - Piero Marcati

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Martedi' 28 Febbraio 2012 alle ore 12:15 in aula 2AB45, Piero Marcati (Universita` dell'Aquila) terra' un seminario dal titolo "Nonlinear Schrodinger equations and quantum fluids with critical nonlinear and Hartree potentials".

-Abstract
I shall introduce to important tools in the modern theory of Nolinear Schrodinger equation and then I will outline some recent results (in collaboration with P. Antonelli and G. Staffilani) regarding scattering and asymptotic completness in presence of nonlinear and Hartree potentials in the critical case. I will explain the basic ingredients to get estimates (e.g. Morawetz estimates, Tao estimates, etc) then I will underline math difficulties due to the Hartree potentials at critical scales and their interaction with the study of quantum fluids.

Rif. int. M. Bardi, C. Marchi, F. Ancona

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