OAI/Geometry/RCD/Heat/HeatScalarLaplacianPairing.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Moving a heat generator onto a scalar Sobolev composition

A bounded gradient suffices for an L² source of the composition. The original weak Laplacian only needs to lie in L².

  1. theorem OAI.RegularPointCoordinates.exists_weakLaplacian_comp_of_bounded_gradient line 18
  2. theorem OAI.RegularPointCoordinates.heat_scalar_inner_laplacian line 43