Calculus 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
Content
In the course, we will study both 1-dimensional and multi-dimensional problems.
Prerequisites / Notice
Basic knowledge of Sobolev spaces is important, so some extra additional readings would be required for those unfamiliar with the topic.