Embedding Theorems in Sobolev Spaces

Related lectures (32)

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Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers the definitions and properties of dual spaces and linear operators.

Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.

Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.

Covers distributions, interpolation spaces, convergence, and the concept of dual spaces.

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Explores examples and applications of the Cauchy-Lipschitz theorem in sequences and Banach spaces.

Explores digital integration, uniform bounds, weak convergence, and norm homogeneity in functional analysis.

Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.