Regularity in Higher Dimension

Related lectures (29)

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

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers direct methods for finding minimizers in the Poisson equation, emphasizing the importance of convexity and boundary conditions.

Explores material and energy balances in chemical engineering for process optimization and design.

Covers the theory and applications of Green's function in solving differential equations.

Explores transport effects in heterogeneous catalysis, including molecular diffusion and Knudsen diffusion in different types of pores.

Covers the general existence result for the Laplace-Dirichlet problem and the properties of the Newtonian potential.

Discusses the uniqueness of solutions for the Poisson equation and introduces the concept of Green function.