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MATH-F411

Analyse fonctionnelle

academic year
2024-2025

Course teacher(s)

Antoine GLORIA (Coordinator)

ECTS credits

5

Language(s) of instruction

french

Course content

Calculus in Hilbert and Banach spaces. Duality, weak topology, representation theorems, Riesz-Fredholm theory, spectral theory and Sobolev spaces

Objectives (and/or specific learning outcomes)

We cover more advaced notions of functional analysis towards their applications in PDEs and applied mathematics

Prerequisites and Corequisites

Cours ayant celui-ci comme co-requis

Teaching methods and learning activities

course, exercises, personal work

References, bibliography, and recommended reading

Principes d'analyse fonctionnelle, M. Willem, 2007, Cassini

Analyse fonctionnelle, théorie et applications, H. Brezis, 1999, Dunod

Partial Differential Equations in Action, From Modelling to Theory, S. Salsa, 2008, Springer

Course notes

  • Podcast
  • Université virtuelle
  • Syllabus

Other information

Contacts

2.07.104 CP 214, Campus Plaine, agloria@ulb.ac.be

Campus

Plaine

Evaluation

Method(s) of evaluation

  • Oral examination

Oral examination

written examination

Language(s) of evaluation

  • french
  • (if applicable english )

Programmes