BIRS Workshop Lecture Videos
Growth of Sobolev norms in linear time dependent SchrÃ Â¶dinger equations Maspero, Alberto
In the talk I will present some recent results on upper and lower bounds for the growth of Sobolev norms in linear time dependent SchrÃ Â¶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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