Towards a weak formulation of Poisson's equation

In this video we will establish a weak formulation of Poisson's equation. 0:10 - Classical solution 2:32 - Space of test functions 4:25 - Weak derivative 15:16 - Sobolev spaces 26:00 - Integration by parts 28:32 - Weak formulation 39:06 - Outlook, very weak solution