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).

Lectures

Instructor

Mathias Viktor Joachim Braun

Teaching & PhD Courses Analysis IV MATH-207(d) The course studies the fundamental concepts of complex analysis and Laplace analysis with a view to their use to solve multidisciplinary scientific engineering problems. Functional analysis II MATH-404 We introduce locally convex vector spaces. As an example we treat the space of test functions and the space of distributions. In the second part of the course, we discuss differential calculus in Banach spaces and some elements fro

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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Summary

Lectures

Instructor

Mathias Viktor Joachim Braun

Official source

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

Moodle Page

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

About this result

Lectures in this course (28)

Linear Programming Exercise

Covers exercises related to linear programming, focusing on solving optimization problems.

Normed Spaces

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Normed Spaces & Reflexivity

Covers normed spaces, Banach spaces, and Hilbert spaces, as well as dual spaces and weak convergence.

Distribution Interpolation Spaces

Covers the proof of UE Lipschitz constant and distribution interpolation spaces.

Lenna Interpolation

Explains the Lenna Interpolation method using Gagliardo and Broc LK (RK) for KEN in detail.

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