After successful completion of the course, students are able to know the basic theory of Gamma-convergence (definition, properties, fundamental theorem) and of some of its most important applications in the study of variational problems.

Review of the direct method in calculus of variations, basic theory of Gamma-convergence, homogenization, thin structures, applications in frature mechanics (Ambrosio-Tortorelli) and in imaging (Mumford-Shah).

The content of the class will be taught by blackboard presentations

The first meeting will take place on March 2nd at 9 in the library room on the 6th floor green area in front of my officeand will be organizational. The class will take place weekly tentative on Thursday 9-11:30.

Oral exam

Some basic knowledge of functional analysis and measure theory are needed to follow the course. Basic results in calculus of variations and in the theory of Lebesgue and Sobolev spaces will be recalled if needed.