Geodesic
Non-generic blow-up solutions for the critical focusing NLS in 1-D
Journal of the European Mathematical Society, Tome 11 (2009) no. 1, pp. 1-125.

Voir la notice de l'article provenant de la source EMS Press

We consider the L2-critical focussing nonlinear Schrödinger equation in 1+1-D. We demonstrate the existence of a large set of initial data close to the ground state soliton resulting in the pseudo-conformal type blow up behavior. More specifically, we prove a version of a conjecture of Perelman, establishing the existence of a co-dimension one stable blow up manifold in the measurable category.
DOI : 10.4171/jems/143
Classification : 35-XX, 00-XX
Keywords: Nonlinear Schrödinger equations, L2-critical NLS, pseudo-conformal blow-up 
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Joachim Krieger; Wilhelm Schlag. Non-generic blow-up solutions for the critical focusing NLS in 1-D. Journal of the European Mathematical Society, Tome 11 (2009) no. 1, pp. 1-125. doi : 10.4171/jems/143. http://geodesic.mathdoc.fr/articles/10.4171/jems/143/

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