Introduction to sets of finite perimeter

Sets of finite perimeter are the most general class of sets for which the notions of boundary measure and external normal can be defined. They play an important role in many geometric and analytical problems, such as minimal surface theory, capillarity problems, phase separation models etc.

The aim of the course is to present the basic theory up to covering the structure theorem. Depending on the time and the interests of the audience, further regularity issues or applications to phase separation problems can also be covered.

Date and time info
Friday, 9:15 - 11:00 h