SMS scnews item created by Daniel Daners at Mon 10 Jun 2013 1927
Type: Seminar
Distribution: World
Expiry: 17 Jun 2013
Calendar1: 17 Jun 2013 1400-1500
CalLoc1: AGR Carslaw 829
Auth: daners@d110-33-211-86.mas801.nsw.optusnet.com.au (ddan2237) in SMS-WASM

PDE Seminar

Normal forms of analytic vector fields

Stolovitch

Laurent Stolovitch
Universitť de Nice, France
17th June 2013 14:00-15:00, Carslaw Room 829 (AGR)

Abstract

I will talk about local classification of germs of holomorphic vector fields vanishing at zero. It is always possible to transform, by a formal change of coordinates, a vector field into a simpler model, called a normal form. Such a transformation is usually a divergent formal power series at the origin. I will show how the problem of convergence is related to a small divisors condition. If the convergence cannot be obtained, Iíll show that the conjugacy can be Gevrey smooth or holomophic in a sectorial domain which contains zero in the boundary in some cases.

Check also the PDE Seminar page. Enquiries to Florica CÓrstea or Daniel Daners.


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