Lecturer:
Course Type:
PhD Course
Academic Year:
2013-2014
Period:
May-June
Duration:
20 h
Description:
- Preliminary results on Geometric Measure Theory:
- Hausdorff measures,
- tangent measures,
- rectifiable sets.
- The theory of sets of finite perimeter.
- The De Giorgi's solution to the Isoperimetric Problem.
- Partial regularity theory of Lambda-minimizers of the perimeter functional.
- A nonlocal variant of the perimeter: the sharp interface Ohta-Kawasaki energy.
- Regularity of local minimizers.
- The second variation of the perimeter and of the Ohta-Kawasaki energy.
- Second order sufficiency conditions for local minimality.
Research Group:
Location:
A-133