The Dirichlet boundary problem for a nonlocal Cahn–Hilliard equation

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Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions (2009, background): “For recent references on nonlocal diffusion see, [1], [2], [3], [4], [5], [6], [10], [11], [13], [14] and references therein.”
Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations (2015, methodology): “(66)), while the nonlocal operator J [u] of [4, 14, 20] (recall (7)) corresponds to the gradient of”
Longtime behavior of nonlocal Cahn-Hilliard equations (2012, result): “For the constant mobility case and regular potentials, some existence, uniqueness and regularity results were obtained in [5] (see also [6, 32]).”
Boundary fluxes for nonlocal diffusion (2007, methodology): “and variations of it, have been recently widely used to model difiusion processes, see [1], [ 2 ], [3], [6], [7], [11], [14].”