OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/PlanarWeakConstant.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

A locally integrable planar function with zero distributional gradient is constant almost everywhere. This is the uniqueness step needed after the ground-state transform; it uses actual compact mollifiers.

  1. def OAI.ContinuumCoulomb.planarMollifier line 21
  2. theorem OAI.ContinuumCoulomb.planarMollifier_tendsto line 27
  3. theorem OAI.ContinuumCoulomb.planar_real_convolution_comm line 32
  4. theorem OAI.ContinuumCoulomb.planar_reflected_derivative line 39
  5. theorem OAI.ContinuumCoulomb.planar_mollification_weak_zero line 48
  6. theorem OAI.ContinuumCoulomb.planar_weak_gradient_zero_constant line 65