Pietro Baldi's seminar at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT
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*Title:* Exact controllability for quasi-linear perturbations of KdV

Pietro Baldi, Università di Napoli Federico II,

SISSA, Wednesday 4 November, 14.30, room 133

*Abstract:*  We prove that the KdV equation on the circle remains 
exactly controllable in arbitrary time with localized control, for 
sufficiently small data, also in presence of quasi-linear perturbations, 
namely nonlinearities containing up to three space derivatives, having a 
Hamiltonian structure at the highest orders.   We use a procedure of 
reduction to constant coefficients up to order  zero, classical Ingham 
inequality and HUM method to prove the controllability of the linearized 
operator. Then a fine version of the Nash-Moser implicit function 
theorem due to Hormander can be  applied as a "black box". Joint work 
with E. Haus and G. Floridia.