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Nonlinear Analysis

KAM theory for ill-posed PDE's

Yannick Sire

Location:  Hill 705
Date & time: Tuesday, 18 October 2016 at 1:40PM -

I will design a KAM method to handle some PDEs, which can be ill-posed. After reviewing a bit of KAM theory in the finite dimensional setting, I will describe the KAM iteration needed to handle the PDE case. It is important here to notice that our method does not involve canonical transformations and that we deal with linearized operators having a finite number of eigenvalues on the imaginary axis.

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Department of Mathematics

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