### Mathematics Colloquium

### (Universität Bonn)

## "Large solutions to the cubic nonlinear Schrödinger equation"

** Date: ** |
Mon, April 4, 2011 |

** Time: ** |
17:15 |

** Place: ** |
Research II Lecture Hall |

**Abstract:** The nonlinear Schrödinger equation is an asymptotic equation
for wave propagation for many problems, including water waves,
nonlinear optics and optical fibers.

Energy conservation and elementary arguments imply wellposedness,
but the estimates connected with the contraction argument give little
information for large time and/or large initial data beyond mere
boundedness.

I will review examples of solutions and explain that and why the
propagation
of energy in phase space is fairly robust.