Exams

The exam is a (45-minute) seminar on a topic connected to the course (candidates are expected to highlight such connections).

A list of possible topics is the following:

Lower semicontinuity of integrals \int f(x,u,Du) dx
The disintegration theorem for Young measures
Compensated compactness
Morrey's lower semicontinuity theorem
Comparison between convexity, polyconvexity, quasiconvexity
Relaxation for vectorial integrals
The slicing method
The SBV compactness theorem
General properties of Gamma-convergence
Elliptic approximation of the Mumford-Shah functional (in 1D)

Other topics can be arranged directly with me via email



Seminars:

July 25
F. Didone. Compensated compactness


July 11
L. De Luca. The Fundamental Theorem of Young Measures
G. Scilla. The slicing method

October 6
F. Morlando. Comparison  between convexity, polyconvexity, quasiconvexity
M. Strani. General properties of Gamma-convergence

October 28
Bui Le Trong Thanh. Young measures