Master Course on Optimal Control of
Partial Differential Equations by
Frédéric Bonnans
Schedule:
At Ecole Polytechnique, on Tuesday
(except on Feb. 20), 2pm5pm.
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, LaxMilgram setting,
Dirichlet and Neumann boundary control,
semilinear state equations
Lecture 3: Parabolic setting: application to the FokkerPlanck 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: Secondorder optimality conditions: polyhedricity theory
Lecture 7: Numerical analysis
USEFUL REFERENCES

J.L. Lions,
Optimal Control of Systems Governed by Partial
Differential Equations.
Springer, 1971.
F. Tröltzsch:
Optimal Control of Partial Differential Equations  Theory, Methods and Applications.
American Math. Society, 2010.