Session S01 - Modeling and Computation for Control and Optimization of Biological and Physical Systems

Wednesday, July 14, 19:20 ~ 19:45 UTC-3

Stabilization for a class of damped Schroedinger equations.

Mariano Fernando De Leo

INMABB (CONICET)-Depto. Matemática (Universidad Nacional del Sur), Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk we shall present the exponential decay of both the total charge and the free energy, given by the norm in some suitable Sobolev space, for the solutions of a family of non linear, non local Schroedinger equations with a localized damping in the whole line. We shall also discuss qualitative aspects of the dynamics and show that, for finite times, the stabilization rate becomes smaller as the free--damping region is chosen around the origin.

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