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Lecture
Sobolev Spaces in Higher Dimensions
Description
This lecture covers Sobolev spaces in higher dimensions, defining the spaces, discussing multi-index derivatives, and the properties of functions in these spaces. It also touches on Hilbert spaces and the distributional derivatives. The lecture emphasizes the separability of the spaces and the challenges with continuity. The instructor explains the closure of functions, the norm, and the importance of understanding the behavior of functions at given points.
Official source
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