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Nonlinear Schrodinger equations at critical regularity 

4:00 pm Thursday, October 28, 2010
Monica Visan ( UCLA )

We introduce the nonlinear Schrodinger equation (NLS) and define criticality. We then survey some of the techniques used to obtain global well-posedness and scattering for NLS with initial data in a critical space. Our model for this will be the cubic NLS in high spatial dimensions.

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