Growing Sobolev norms for the cubic defocusing Schrödinger equation
Zaher Hani1 ; Benoit Pausader2 ; Nikolay Tzvetkov3 ; Nicola Visciglia4
1 Courant Institute of Mathematical Sciences 251 Mercer Street New York NY 10012
2 Université Paris-Nord
3 Université Cergy-Pontoise
4 Universita di Pisa
Séminaire Laurent Schwartz — EDP et applications (2013-2014), Exposé no. 16, 11 p.

This text aims to describe results of the authors on the long time behavior of NLS on product spaces with a particular emphasis on the existence of solutions with growing higher Sobolev norms.

DOI : 10.5802/slsedp.60
Zaher Hani 1 ; Benoit Pausader 2 ; Nikolay Tzvetkov 3 ; Nicola Visciglia 4

1 Courant Institute of Mathematical Sciences 251 Mercer Street New York NY 10012
2 Université Paris-Nord
3 Université Cergy-Pontoise
4 Universita di Pisa 
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     title = {Growing {Sobolev} norms for the cubic defocusing {Schr\"odinger} equation},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
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Zaher Hani; Benoit Pausader; Nikolay Tzvetkov; Nicola Visciglia. Growing Sobolev norms for the cubic defocusing Schrödinger equation. Séminaire Laurent Schwartz — EDP et applications (2013-2014), Exposé no. 16, 11 p. doi : 10.5802/slsedp.60. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.60/

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