OAI/Geometry/RCD/Heat/HeatGeneratorSecondDerivative.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The actual second positive-time derivative of the heat semigroup

Only the second generator iterate is needed for the heat-bridge variation. The fixed positive-time splitting avoids differentiating an unbounded operator.

  1. def OAI.RegularPointCoordinates.heatSecondGeneratorAt line 18
  2. theorem OAI.RegularPointCoordinates.heatGeneratorAt_hasDerivAt_second line 21
  3. theorem OAI.RegularPointCoordinates.heatAt_deriv_hasDerivAt line 27