Regularity and Singularity in obstacle problems

In this course we present a geometric approach to the study of the regularity and the singularity of the free boundary in the classical obstacle problem.

This approach is due to F. Lin and is based on the use of several techniques in geometric measure theory, such as the monotonicity formula for Almgren's frequency function, Federer's dimension reduction and Almgren's stratification theorem.

The aim of the course is to give an account of these techniques in perspective of the proof of Caffarelli's main result for the obstacle problem.

Date and time info
Thursday, 11:00 - 12:30 h