Master Course on Optimal Control of
Partial Differential Equations by
At Ecole Polytechnique, on Tuesday
(except on Feb. 20), 2pm-5pm.
January 29, PC 37; February 5 and 12, PC 37;
February 20 (Wednesday) and 26, PC 40;
March 12 and 19, PC 37.
Exam on March 27 at 2pm, room to be announced.
PROGRAM OF LECTURES
Lecture 1 :
Motivating examples, tools from functional analysis,
Fourier transform; costate equation, optimality system
Lecture 2: Sobolev spaces, Lax-Milgram setting,
Dirichlet and Neumann boundary control,
semilinear state equations
Lecture 3: Parabolic setting: application to the Fokker-Planck equation
Lecture 4: Optimal control in the setting of the semigroup theory:
application to the Schroedinger equation
Lecture 5: State constraints, alternative optimality system
Lecture 6: Second-order optimality conditions: polyhedricity theory
Lecture 7: Numerical analysis
Optimal Control of Systems Governed by Partial
Optimal Control of Partial Differential Equations - Theory, Methods and Applications.
American Math. Society, 2010.