Dynamic of Threshold Solutions for Energy-critical Nls
نویسنده
چکیده
We consider the energy-critical non-linear focusing Schrödinger equation in dimension N = 3, 4, 5. An explicit stationnary solution, W , of this equation is known. In [KM06], the energy E(W ) has been shown to be a threshold for the dynamical behavior of solutions of the equation. In the present article, we study the dynamics at the critical level E(u) = E(W ) and classify the corresponding solutions. This gives in particular a dynamical characterization of W .
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