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401-4494-23L 4 Credits MSC D-MATH

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Variational Problems and PDEs

Lecturers & Examiners: Prof. Dr. Alessio Figalli

VVZ CR n/a

Last Updated: 2026-02-05 16:22:15

Abstract

In this class, we will study some classical variational problems to motivate the introduction and study of a series of important tools in analysis, such as:1) the direct method of the calculus of variations2) the use of geometric measure theory to deal with non-smooth objects3) the regularity theory for elliptic PDEs with measurable and smooth coefficients

Objective

Learn important tools in the calculus of variations, elliptic PDEs, and geometric measure theory.

General Information

Language: English
Levels: MSC

Examination

Type: session examination
Mode: written 120 minutes
Aids: None

The exam is only offered in the summer examination session 2023 and the subsequent winter session 2024

Course Components

Type	Title	Time & Place	Hours
lecture	Variational Problems and PDEs	Wed 12:15-14:00 (HG G 3)	2 h weekly

Offered In

Mathematics Master
- Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
  - Electives: Pure Mathematics
    - Selection: Analysis