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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