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.
@article{SLSEDP_2013-2014____A16_0,
author = {Hani, Zaher and Pausader, Benoit and Tzvetkov, Nikolay and Visciglia, Nicola},
title = {Growing {Sobolev} norms for the cubic defocusing {Schr\"odinger} equation},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:16},
pages = {1--11},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2013-2014},
doi = {10.5802/slsedp.60},
language = {en},
url = {http://www.numdam.org/articles/10.5802/slsedp.60/}
}
TY - JOUR AU - Hani, Zaher AU - Pausader, Benoit AU - Tzvetkov, Nikolay AU - Visciglia, Nicola TI - Growing Sobolev norms for the cubic defocusing Schrödinger equation JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:16 PY - 2013-2014 SP - 1 EP - 11 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/articles/10.5802/slsedp.60/ DO - 10.5802/slsedp.60 LA - en ID - SLSEDP_2013-2014____A16_0 ER -
%0 Journal Article %A Hani, Zaher %A Pausader, Benoit %A Tzvetkov, Nikolay %A Visciglia, Nicola %T Growing Sobolev norms for the cubic defocusing Schrödinger equation %J Séminaire Laurent Schwartz — EDP et applications %Z talk:16 %D 2013-2014 %P 1-11 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/articles/10.5802/slsedp.60/ %R 10.5802/slsedp.60 %G en %F SLSEDP_2013-2014____A16_0
Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola. 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. http://www.numdam.org/articles/10.5802/slsedp.60/
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