OAI/MathematicalPhysics/DefocusingNLS/Profile/RadialGreenOperator.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

The radial Dirichlet inverse as a bounded positive operator.

  1. def OAI.DefocusingNLS.radialClamp line 12
  2. theorem OAI.DefocusingNLS.continuous_radialClamp line 14
  3. theorem OAI.DefocusingNLS.radialClamp_mem line 18
  4. theorem OAI.DefocusingNLS.radialClamp_eq line 21
  5. theorem OAI.DefocusingNLS.bounded_radialDirichletKernel line 24
  6. def OAI.DefocusingNLS.boundedRadialGreen line 35
  7. theorem OAI.DefocusingNLS.boundedRadialGreen_norm line 41
  8. def OAI.DefocusingNLS.radialGreenOperator line 46
  9. theorem OAI.DefocusingNLS.radialGreenOperator_apply line 61
  10. theorem OAI.DefocusingNLS.radialGreenOperator_nonneg line 64