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Related lectures (30)

Explores optimal transport in heat equations and metric spaces.

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Discusses the energy, momentum, and generation of electromagnetic waves, along with their applications in optics and radiation pressure.

Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Covers the approximation of functions in Sobolev spaces using smooth functions.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

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