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math.AP2012
Long-time dynamics of completely integrable Schrödinger flows on the torus
Nalini Anantharaman, Clotilde Fermanian-Kammerer, Fabricio Macià
In this article, we are concerned with long-time behaviour of solutions to a semi-classical Schrödinger-type equation on the torus. We consider time scales which go to infinity whe…
math.AP2012★ 91 cited
Decay rates for the damped wave equation on the torus
Nalini Anantharaman, Matthieu Léautaud, Stéphane Nonnenmacher
We address the decay rates of the energy for the damped wave equation when the damping coefficient does not satisfy the Geometric Control Condition (GCC). First, we give a link…