Publication

Non-generic blow-up solutions for the critical focusing NLS in 1-D

Joachim Krieger
2009
Journal paper

Abstract

We 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.

Official source

https://infoscience.epfl.ch/record/155189?ln=en

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Non-generic blow-up solutions for the critical focusing NLS in 1-D

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Atoms and quantum dots with a large number of electrons: The ground-state energy

Atoms and quantum dots with a large number of electrons: The ground-state energy