BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Growth of Sobolev norms in linear time dependent Schrà ¶dinger equations Maspero, Alberto

Description

In the talk I will present some recent results on upper and lower bounds for the growth of Sobolev norms in linear time dependent Schrà ¶dinger equations. After discussing the known upper bounds on the Sobolev norms of the solutions, I will explain a strategy to construct time dependent perturbations which provoke transfer of energy from low to high modes, leading to unbounded solutions.

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Attribution-NonCommercial-NoDerivatives 4.0 International