Lecture

Sobolev Spaces in Higher Dimensions

In course

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Description

This lecture covers Sobolev spaces in higher dimensions, defining the spaces, discussing multi-index derivatives, and the properties of functions in these spaces. It also touches on Hilbert spaces and the distributional derivatives. The lecture emphasizes the separability of the spaces and the challenges with continuity. The instructor explains the closure of functions, the norm, and the importance of understanding the behavior of functions at given points.

Official source

https://mediaspace.epfl.ch/media/0_s6kcl880

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis, Calculus, Complex analysis

Topology: General topology

Mathematical logic: Set theory

Logic

Classical logic: First-order logic

Statistics

Statistical inference: Mathematical statistics

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