Lecture

Density Results in Sobolev Spaces

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In course

MATH-305: Introduction to partial differential equations

This is an introductory course on Elliptic Partial Differential Equations. The course will cover the theory of both classical and generalized (weak) solutions of elliptic PDEs. ...

Description

This lecture covers density results in Sobolev spaces, focusing on the proof and applications. The instructor explains the concept of density results in Sobolev spaces and provides hints for the proof. The lecture progresses to discuss approximation up to the boundary and the closure of certain spaces. The instructor demonstrates the application of density results in Sobolev spaces through various examples and exercises. The lecture concludes with a detailed explanation of the theorem and its implications.

Instructors (2)

Nicola De Nitti

Fabio Nobile

Teaching & PhD PhD Students Veronica Montanaro, Matteo Raviola, Francesca Bettinelli, Eliott Van Dieren, Riccardo Saporiti, Giacomo Mossinelli, Noé Stauffer, Fabio Zoccolan Past EPFL PhD Students Diane Sylvie Guignard, Francesco Tesei, Eleonora Musharbash, Matthieu Claude Martin, Davide Pradovera, Sundar Subramaniam Ganesh, Eva Vidlicková, Juan Pablo Madrigal Cianci, Andrea Zanoni, Thomas Simon Spencer Trigo Trindade Past EPFL PhD Students as codirector Michele Pisaroni Courses Advanced analysis II - ve

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