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Elliptic and Hyperbolic Equations on Singular Spaces

October 27, 2008 to October 31, 2008
Organized By: Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy and Jared Wunsch
 
Parent Programs:
Analysis on Singular Spaces
 
Return to Workshop Description
 

"The resonant Hermite-Schr\"odinger equation on the sphere"

Tuesday October 28, 2008

11:00AM - 12:00PM

Speakers:
Nicolas Burq

Abstract:

In this talk we study the behaviour of high frequency solutions to the non linear Schr\"odinger equations on surfaces.
More precisely we are interested in describing how much non linear this equation is, and understanding the influence of the geometry of the surface. In the case of the sphere, we have a description in terms of solutions to a "resonant Hermite-Schr\"odinger equation".
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