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19932020
most citedEpitaxial Growth of a Silicene Sheet

1.4k citations

Showing 2012 · math.APShow all

5 papers · 2 filters

math.AP2012★ 3 cited

Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff

Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov +1

We prove that the Cauchy problem associated to the radially symmetric spatially homogeneous non-cutoff Boltzmann equation with Maxwellian molecules enjoys the same Gelfand-Shilov r…

math.AP2012★ 4 cited

A lower bound on the blow-up rate for the Davey-Stewartson system on the torus

Nicolas Godet

We consider the hyperbolic-elliptic version of the Davey-Stewartson system with cubic nonlinearity posed on the two dimensional torus. A natural setting for studying blow up soluti…

math.AP2012★ 12 cited

Dynamical Ionization Bounds for Atoms

Enno Lenzmann, Mathieu Lewin

We study the long-time behavior of the 3-dimensional repulsive nonlinear Hartree equation with an external attractive Coulomb potential , which is a nonlinear model for the…

math.AP2012★ 7 cited

Consequences of the choice of a particular basis of for the cubic wave equation on the sphere and the Euclidian space

Anne-Sophie de Suzzoni

In this paper, the almost sure global well-posedness of the cubic non linear wave equation on the sphere is studied when the initial datum is a random variable with values in low r…

math.AP2012★ 32 cited

The NLS ground states on product spaces

Susanna Terracini, Nikolay Tzvetkov, Nicola Visciglia

We study the nature of the Nonlinear Schrödinger equation ground states on the product spaces , where is a compact Riemannian manifold. We prove that for smal…