OAI/Geometry/RCD/Heat/LocalLogarithmicLaplacian.lean

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Local logarithmic calculus for a bounded-gradient weak Laplacian

Only a positive lower bound on the region of interest is needed. The constructed global Sobolev function agrees there with the logarithm; its global L² source comes from a smooth scalar extension.

  1. theorem OAI.RegularPointCoordinates.exists_local_logarithmic_laplacian line 21