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ef96466 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 | import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCoupledBoundarySystem
namespace OAI
/-! Enlarging a Green constant preserves the constructed boundary system. -/
open Set
namespace DefocusingNLS
noncomputable def SpectralScalarBoundarySystem.withBound {R E A : ℝ}
(S : SpectralScalarBoundarySystem R E A) (B : ℝ) (hAB : A ≤ B) :
SpectralScalarBoundarySystem R E B :=
{ S with
green := fun r hr t ht => (S.green r hr t ht).trans
(div_le_div_of_nonneg_right hAB (S.positive_k t ht).le) }
end DefocusingNLS
end OAI
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