Functions of Bounded Variation

Selected Topics in Analysis and Calculus of Variations (V5B6, Basis 611500313)

Dr. M. Bonacini

 

 

 

Time and place: Tuesdays 10-12, Room 2.040

  

 

Synopsis

The goal of the course is to give a general introduction to the theory of functions of bounded variation and of sets of finite perimeter. This theory provides the natural setup for several problems in the Calculus of Variations, in particular those characterized by the appearance of discontinuity surfaces. In this course I will present the main features of BV functions and the basic tools that the general theory makes available. The last part will be devoted to the discussion of a few applications to specific variational problems - in particular, the gradient theory of phase transition, and the Mumford-Shah functional (used in problems of image reconstruction and of fracture mechanics).

 

More details: link

 

Exams

There will be an oral examination at the end of the course. The exams will take place in room 2.061.

 

First session: Tuesday 24/07 and Wednesday 25/07

Second session: Tuesday 11/09