Krieger, JoachimSchlag, W.2010-11-192010-11-192010-11-19200910.4171/JEMS/143https://infoscience.epfl.ch/handle/20.500.14299/57982We consider the L-2-critical focusing non-linear Schrodinger equation in 1 + 1d. 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 codimension one stable blow-up manifold in the measurable category.Non-linear Schrodinger equationsL-2-critical NLSpseudo-conformal blow-upNonlinear Schrodinger-EquationsNonintegrable EquationsGround-StatesStabilityPotentialsScatteringTimetext::journal::journal article::research article