Dispersive PDE

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Normal form and I-method

by Tadahiro Oh | University of Toronto
Time: 14:00  (Tuesday, Jun. 22, 2010)
Location: BA6183, Bahen Center, 40 St George St
Abstract:
In this talk, I will discuss the main ideas and steps in Bourgain's paper: A remark on normal forms and the "I -method" for periodic NLS, J. Anal. Math. 94 (2004), 125--157.

The paper can be found here: http://www.springerlink.com/content/y17447749v443716/fulltext.pdf

Dates in this series

· Tuesday, May. 25, 2010: On the soliton dynamics under a slowly varying medium for generalized KdV equations (Claudio Muñoz)
· Tuesday, Jun. 22, 2010: Normal form and I-method (Tadahiro Oh)
· Monday, Jul. 26, 2010: Soliton resolution and action-angle coordinates for the Szego equation in the case of rational fraction initial data (Oana Pocovnicu)
· Monday, Jul. 26, 2010: Liouville-Arnold Theorem and action-angle coordinates (expository) (Oana Pocovnicu)
· Tuesday, Jul. 27, 2010: Quantized Poincare maps in chaotic scattering (Maciej Zworski)