OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Scalar/ScalarEuclideanLaplacian.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The scalar PDE's coordinate Laplacian equals the trace computed in Euclidean coordinates. Thus the detector Hessian estimates have no hidden change-of-norm factor.

  1. def OAI.ForcedComputation.VelocityDetector.scalarEuclidean line 15
  2. theorem OAI.ForcedComputation.VelocityDetector.scalarEuclidean_smooth line 17
  3. theorem OAI.ForcedComputation.VelocityDetector.scalarEuclidean_second line 20
  4. theorem OAI.ForcedComputation.VelocityDetector.scalarLaplacian_eq_euclidean_trace line 38
  5. theorem OAI.ForcedComputation.VelocityDetector.scalarLaplacian_bound_of_euclidean_hessian line 55