OAI/Geometry/RCD/Heat/HeatIteratedLaplacian.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

The first heat source has the actual second weak Laplacian

The source is represented by a second Sobolev function on the original space. Both source identities use the same positive-time generator.

  1. theorem OAI.RegularPointCoordinates.heatAt_generator_split line 18
  2. theorem OAI.RegularPointCoordinates.heat_generator_iterated_laplacian line 26
  3. theorem OAI.RegularPointCoordinates.kernelHeat_iterated_spatial_source line 47