OAI/MathematicalPhysics/ContinuumCoulomb/Nuclei/SlabRegularity.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Continuity and global boundedness of the actual slab field, including its discontinuous density at the slab boundary.

  1. theorem OAI.ContinuumCoulomb.slabDensity_nonnegative line 13
  2. theorem OAI.ContinuumCoulomb.slabDensity_le line 19
  3. theorem OAI.ContinuumCoulomb.slabPotential_eq_negativePotentialOf line 25
  4. theorem OAI.ContinuumCoulomb.slabPotential_continuous line 28
  5. theorem OAI.ContinuumCoulomb.slabPotential_abs_bound line 34
  6. theorem OAI.ContinuumCoulomb.manufacturedSlabPotential_continuous line 46
  7. theorem OAI.ContinuumCoulomb.manufacturedSlabPotential_bounded line 53