Remarks on global existence and compactness for solutions in the critical nonlinear schrödinger equation in 2D
Journées équations aux dérivées partielles (1998), article no. 13, 9 p.
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In the talk we shall present some recent results obtained with F. Merle about compactness of blow up solutions of the critical nonlinear Schrödinger equation for initial data in . They are based on and are complementary to some previous work of J. Bourgain about the concentration of the solution when it approaches to the blow up time.
@incollection{JEDP_1998____A13_0,
author = {Gonzalez, Luis Vega},
title = {Remarks on global existence and compactness for $L^2$ solutions in the critical nonlinear schr\"odinger equation in {2D}},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {13},
pages = {1--9},
publisher = {Universit\'e de Nantes},
year = {1998},
doi = {10.5802/jedp.542},
zbl = {01808722},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.542/}
}
TY - JOUR AU - Gonzalez, Luis Vega TI - Remarks on global existence and compactness for $L^2$ solutions in the critical nonlinear schrödinger equation in 2D JO - Journées équations aux dérivées partielles PY - 1998 SP - 1 EP - 9 PB - Université de Nantes UR - http://geodesic.mathdoc.fr/articles/10.5802/jedp.542/ DO - 10.5802/jedp.542 LA - en ID - JEDP_1998____A13_0 ER -
%0 Journal Article %A Gonzalez, Luis Vega %T Remarks on global existence and compactness for $L^2$ solutions in the critical nonlinear schrödinger equation in 2D %J Journées équations aux dérivées partielles %D 1998 %P 1-9 %I Université de Nantes %U http://geodesic.mathdoc.fr/articles/10.5802/jedp.542/ %R 10.5802/jedp.542 %G en %F JEDP_1998____A13_0
Gonzalez, Luis Vega. Remarks on global existence and compactness for $L^2$ solutions in the critical nonlinear schrödinger equation in 2D. Journées équations aux dérivées partielles (1998), article no. 13, 9 p.. doi: 10.5802/jedp.542
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