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189 personnes travaillent au LJLL

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Séminaire du LJLL - 18 05 2018 14h00 : L. Vega

Luis Vega (Centre Basque de Mathématiques Appliquées, Bilbao)
Lower bounds for Schrödinger evolutions

Résumé
I shall present recent work done in collaboration with Mikel Agirre on some quantitative properties for solutions of Schrödinger equations with bounded (not necessarily real) time dependent potentials. Assuming that there is some mass at time zero within a ball of a certain radius we prove that a substantial part of it can be observed looking at the energy (i.e. including the gradient term of the solution) on a space-time parabolic region with vertex outside of the initial ball. The result is an outcome of the techniques developed with Escariauza, Kenig, and Ponce to prove some classical uncertainty principles.