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.

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 L 2 (𝐑 2 ). 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.

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     author = {Luis Vega Gonzalez},
     title = {Remarks on global existence and compactness for $L^2$ solutions in the critical nonlinear schr\"odinger equation in {2D}},
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     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {13},
     pages = {1--9},
     publisher = {Universit\'e de Nantes},
     year = {1998},
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     language = {en},
     url = {https://proceedings.centre-mersenne.org/item/JEDP_1998____A13_0/}
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Luis Vega Gonzalez. 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. https://proceedings.centre-mersenne.org/item/JEDP_1998____A13_0/

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