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Explore nonlocal diffusion models for the Poisson equation with Dirichlet boundary conditions in this comprehensive lecture. Delve into the complexities of handling Dirichlet boundaries in nonlocal models, contrasting them with the simpler Neumann boundary conditions. Examine various approaches to approximating Dirichlet boundaries in nonlocal diffusion models. Analyze the wellposedness and vanishing nonlocality convergence of these models, gaining insights into their mathematical properties and practical applications.
