Growth of Sobolev norms for the analytic NLS on T-2

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Title:	Growth of Sobolev norms for the analytic NLS on T-2
Author:	Guàrdia Munarriz, Marcel; Sandhaus, Evan; Procesi, M.
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
Abstract:	We consider the completely resonant non-linear Schrödinger equation on the two dimensional torus with any analytic gauge invariant nonlinearity. Fix s>1. We show the existence of solutions of this equation which achieve arbitrarily large growth of Hs Sobolev norms. We also give estimates for the time required to attain this growth.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals -Hamiltonian systems -Differential equations -Nonlinear theories -Hamiltonian partial differential equations -Nonlinear Schrodinger equation -Transfer of energy -Growth of Sobolev norms -Sistemes hamiltonians -Equacions diferencials -Teories no lineals
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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