OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousLinearizedBound.lean

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Quantitative bounds for the true whole-space linearized evolution

The Bielecki argument already constructs the mild trajectories. Its fixed point estimate gives a data bound on every finite slab, for the actual bounded real-linear derivative of the odd-power potential.

  1. theorem OAI.DefocusingNLS.homogeneousPotentialBielecki_zero_norm_le line 19
  2. theorem OAI.DefocusingNLS.homogeneousPotential_mild_bound line 45
  3. theorem OAI.DefocusingNLS.homogeneousLinearized_mild_bound line 87