OAI/Analysis/CircleDomains/Sobolev/ScalarContinuationEnergy.lean

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The compact continuous continuation retains the sharp source energy and the zero gradient on the actual complementary set.

  1. theorem OAI.CircleDomainRigidity.RetainedRealCircleModel.ScalarWeakLimit.planarWeakGradient_energy line 21
  2. theorem OAI.CircleDomainRigidity.RetainedRealCircleModel.ScalarWeakLimit.planarWeakGradient_energy_integrable line 32
  3. theorem OAI.CircleDomainRigidity.RetainedRealCircleModel.ScalarWeakLimit.continuedScalar_gradient_zero line 37
  4. theorem OAI.CircleDomainRigidity.RetainedRealCircleModel.ScalarWeakLimit.continuedScalar_energy line 46