$\vec{w}h\alpha\mathfrak{t}\;\; i\mathbb{S}\ldots$

direct method of calculus of variations?

Anastasija Pesic (HU Berlin)
2022/02/11, 13:15
Before the MATH+ Friday Colloquium by Prof. Maria Esteban (abstract, video recording)
Due to the current situation, the talk takes place online, via zoom. The meeting link has been sent out via the usual mailing lists; please contact the organisers if you have not received the email and would like to join the talk.
About what?

When looking to show that a minimum of a functional is attained, one usually first turns to the Direct Method of Calculus of Variations. In this lecture, following one concrete example from electrostatics, we will first explore the necessary condition that a minimizer must satisfy — the Euler-Lagrange equation. Then we will move on to the problem of existence of minimizers and present the Direct Method. We will discuss the assumptions involved and explore the method's limits.