Course

MATH-502: Distribution and interpolation spaces

Summary

The goal of this course is to give an introduction to the theory of distributions and cover the fundamental results of Sobolev spaces including fractional spaces that appear in the interpolation theory. Those notions are central to the study of partial differential equations (PDE).

Official source

https://edu.epfl.ch/coursebook/en/distribution-and-interpolation-spaces-MATH-502

Moodle Page

http://go.epfl.ch/MATH-502

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis, Measure theory, Calculus, Numerical analysis, Complex analysis, Differential anaysis

Topology: General topology

Algebra: Linear algebra, Representation theory

Statistics

Statistical inference: Mathematical statistics

Logic

Classical logic: First-order logic

Instructor

Alexis Paul Benjamin Michelat

Après avoir soutenu ma thèse en 2019 à ETH Zürich sous la direction de Tristan Rivière , je fus postdoc de la Fondation Sciences Mathématiques de Paris à l'Université de Paris (nouveau nom de l'Université Paris-Diderot) pendant une année sous la supervision de Frédéric Hélein , et je fus ensuite un postdoc financé par le FNS (via le Early Postdoc Mobility) à l'Université d'Oxford sous la supervision d' Andrea Mondino . Depuis le 1er septembre 2022, je suis Instructeur Bernoulli à l'EPFL (Lausanne).

Lectures in this course (28)

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