Nonlocal diffusion Asymptotic behavior Matched asymptotics Boundary value problems Exterior domain Partial differential equations Asymptotic behaviors Nonlinear equations Asymptotic Behavior Asymptotic analysis Boundary conditions Compactly supported Decay (organic) Diffusion Dirichlet data First moments Functions Heat equations Initial value problems Instantaneous point source Large time behavior Logarithmic corrections Matched Asymptotics Nonlinear boundary conditions Plating Porous Medium Equation on the Half-Line Porous materials Porous medium equation Solution uniqueness Stationary solutions