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The next meeting of the Differential Equations Seminar will be held on February 11, 2020, at 2:00 p.m. in Room 478 of IMI-BAS. 
Dr. Mirko Tarulli, will deliver a lecture on:

DECAY AND SCATTERING IN ENERGY SPACE FOR THE SOLUTION OF GENERALIZED HARTREE EQUATION

Abstract. We prove decay with respect some Lebesgue norms for a class of Schrödinger equations with non-local nonlinearities by showing new Morawetz inequalities and estimates. As a straightforward product we obtain large-data scattering in the energy space for the solutions to the defocusing generalized Hartre equations with mass-energy intercritical nonlinearities in any space dimensions.

Department of Differential Equations and Mathematical hysics