A Nonlocal Diffusion Equation whose Solutions Develop a Free Boundary

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How to Approximate the Heat Equation with Neumann Boundary Conditions by Nonlocal Diffusion Problems (2006, background): “As in [7] and [8], existence and uniqueness will be a consequence of Banach’s fixed point theorem.”
On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators (2010, unknown): “where Ω ⊂ R, k ≥ 0 satisfies ∫ Rn k(y, x)dy < ∞ for all x ∈ R and b(x) ∈ C(Ω); see among other references [1, 2, 3, 10, 11, 12, 14, 15, 16, 19, 22, 23, 24, 33, 34, 39].”
A logistic equation with refuge and nonlocal diffusion (2009, background): “See also [28] for the appearance of convective terms and [11], [12] for interesting features in other related nonlocal problems.”
A nonlocal convection–diffusion equation (2007, unknown): “[2], [4], [6], [7], [10], [13], [14], [20] and [21].”
On the principal eigenvalue of some nonlocal diffusion problems (2009, background): “See also [28] for the appearance of convective terms, [2] for a problem with nonlinear nonlocal diffusion and [13], [14], [15] for interesting features in other related nonlocal problems.”