Lesson 18: Sobolev Spaces, part V

3 Maio 2019, 12:00 • Hugo Tavares

The extension theorem: ideas about the proof in the general case using a partition of the unity. Consequences: density results and Sobolev embeddings for W^{1,p}(Omega) with Omega a C^1-domain. 
The trace operator. Green's identity in H^1.