Density Results in Sobolev Spaces

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.