In this final lecture on the topic of weak convergence we are showing, Melanie discusses how the weak compactness of closed bounded sets in reflexive Banach spaces can be used to establish the existence of minimisers of non-linear functions and of solutions of Partial Differential Equations.
You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): https://www.youtube.com/playlist?list=PL4d5ZtfQonW0A4VHeiY0gSkX1QEraaacE
All first and second year lectures are followed by tutorials where students meet their tutor in pairs to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
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