Non-generic blow-up solutions for the critical focusing NLS in 1-d
Krieger, Joachim ; Schlag, Wilhelm
arXiv, 0508576 / Harvested from arXiv
Text on arXiv
This paper addresses the existence of codimension one stable manifolds for the pseudo-conformal blow-up solution for critical one-dimensional NLS. By the work of Perelman and Merle, Raphael, the blow-up rate of these solutions is far from the generic one. However, Bourgain,Wang and Perelman formulated the possibility of codimension one stable manifolds for the non-generic blow-up solutions. This paper established the existence of such manifolds, albeit only in the measurable category.
Publié le : 2005-08-29
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35Q55, 37K40 
@article{0508576,
     author = {Krieger, Joachim and Schlag, Wilhelm},
     title = {Non-generic blow-up solutions for the critical focusing NLS in 1-d},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508576}
}

Krieger, Joachim; Schlag, Wilhelm. Non-generic blow-up solutions for the critical focusing NLS in 1-d. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508576/