[CvGmt News] Seminario Pietro Baldi (19/02/2019)

[Riccardo Molle]

SEMINARIO DI EQUAZIONI DIFFERENZIALI

Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"


Martedì 19 febbraio 2019, ore 14:30 Aula Dal Passo

Pietro Baldi (Università di Napoli Federico II)
   
Titolo: Control of water waves and quasilinear evolution PDEs
  
The talk deals with recent results of exact controllability, with internal control,
for dispersive quasilinear evolution PDEs in the space-periodic setting: the
gravity-capillary water wave equations, and quasilinear perturbations of the
Korteweg-de Vries (KdV) and nonlinear Schrodinger (NLS) equations.

Two different approaches are considered: the work [1] is based on microlocal
analysis with a quasilinear scheme, while [2,3,4] rely on a new Nash-Moser theorem,
which is sharp regarding a certain regularity issue.

[1] T. Alazard, P. Baldi and D. Han-Kwan,
Control of water waves,
J. Eur. Math. Soc. (JEMS)
20 (2018), 657-745.

[2] P. Baldi, G. Floridia, E. Haus,
Exact controllability for quasi-linear perturbations of KdV,
Anal. PDE
10 (2017), 281-322.

[3] P. Baldi, E. Haus,
A Nash-Moser-Hormander implicit function theorem
with applications to control and Cauchy problems for PDEs,
J. Funct. Anal.
273 (2017), 3875-3900.

[4] P. Baldi, E. Haus, R. Montalto,
Controllability of quasi-linear Hamiltonian NLS equations,
J. Differential Equations
264 (2018), 1786-1840.

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http://www.mat.uniroma2.it/~ricerca/analis/Seminario%20di%20Equazioni%20Differenziali.html

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