output
19932020
most citedEpitaxial Growth of a Silicene Sheet

1.4k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2010 · math.APShow all

3 papers · 2 filters

math.AP2010★ 81 cited

Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications

Sebastian Herr, Daniel Tataru, Nikolay Tzvetkov

We consider the energy critical nonlinear Schrödinger equation on periodic domains of the form R^m x T^{4-m} with m=0,1,2,3. Assuming that a certain L^4 Strichartz estimate holds f…

math.AP2010★ 42 cited

Global well-posedness for the KP-II equation on the background of a non localized solution

Luc Molinet, Jean-Claude Saut, Nikolay Tzvetkov

Motivated by transverse stability issues, we address the time evolution under the KP-II flow of perturbations of a solution which does not decay in all directions, for instance the…

math.AP2010★ 107 cited

Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3)

Sebastian Herr, Daniel Tataru, Nikolay Tzvetkov

A refined trilinear Strichartz estimate for solutions to the Schrödinger equation on the flat rational torus T^3 is derived. By a suitable modification of critical function space t…