401-4422-21L  An Introduction to the Calculus of Variations

SemesterSpring Semester 2021
LecturersA. Figalli
Periodicitynon-recurring course
Language of instructionEnglish


AbstractCalculus of variations is a fundamental tool in mathematical analysis, used to investigate the existence, uniqueness, and properties of minimizers to variational problems.
Classic examples include, for instance, the existence of the shortest curve between two points, the equilibrium shape of an elastic membrane, and so on.
Objective
ContentIn the course, we will study both 1-dimensional and multi-dimensional problems.
Prerequisites / NoticeBasic knowledge of Sobolev spaces is important, so some extra additional readings would be required for those unfamiliar with the topic.