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.
@article{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},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
year = {1998},
pages = {1-9},
zbl = {01808722},
language = {en},
url = {http://dml.mathdoc.fr/item/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), pp. 1-9. http://gdmltest.u-ga.fr/item/JEDP_1998____A13_0/
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