In one dimension, the 2-Wasserstein distance between the nonlocal and local porous medium solutions is bounded by a constant times the square root of the smoothing parameter.
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Rate of Convergence for a Nonlocal-to-local Limit in One Dimension
In one dimension, the 2-Wasserstein distance between the nonlocal and local porous medium solutions is bounded by a constant times the square root of the smoothing parameter.