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Pré-Publication, Document De Travail Année : 2010

Finite time stabilization of Schrodinger equation

Résumé

We consider the Schrodinger equation on a compact manifold, in the presence of a nonlinear damping term, which is homogeneous and sublinear. For initial data in the energy space, we construct a weak solution, defined for all positive time, which is shown to be unique. In the one-dimensional case, we show that it becomes zero in finite time. In the two and three-dimensional cases, we prove the same result under the assumption of extra regularity on the initial datum.
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Dates et versions

hal-00496616 , version 1 (30-06-2010)
hal-00496616 , version 2 (15-09-2010)

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Citer

Rémi Carles, Clément Gallo. Finite time stabilization of Schrodinger equation. 2010. ⟨hal-00496616v1⟩
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