Growing Sobolev norms for the cubic defocusing Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
We consider the cubic defocusing nonlinear Schrödinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS10] the existence of solutions with s-Sobolev norm growing in time. We establish the existence of solutions with polynomial time estimates. More exactly, there is c > 0 such that for any K ≫ 1 we find a solution u and a time T such ...
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ژورنال
عنوان ژورنال: Séminaire Laurent Schwartz — EDP et applications
سال: 2013
ISSN: 2266-0607
DOI: 10.5802/slsedp.60