Lesson 17: Sobolev Spaces, part IV

30 Abril 2019, 10:30 • Hugo Tavares

Poincaré's inequality: proof and consequences (equivalent norm in H^1_0(Omega)). 
Characterization of H^{-1}(Omega), the dual space of H^1_0(Omega). 
Statement of the extension theorem for W^{1,p}(Omega), with Omega a C^1 domain. Proof when Omega is a cube.