`BookProof.HermiteStrichartzQG.qg3D_not_bounded` : ¬ ∃ C : ℝ, ∀ f : hermiteCore, ‖qg3DHermiteHamiltonian (fun k _ => (k : ℝ)) 0 0 f‖ ≤ C * ‖(f : L2R)‖

Proved

BookProof.HermiteStrichartzQG.qg3D_not_bounded

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStrichartzHermiteQG.

BookProof.HermiteStrichartzQG.qg3D_not_bounded : ¬ ∃ C : ℝ, ∀ f : hermiteCore, ‖qg3DHermiteHamiltonian (fun k _ => (k : ℝ)) 0 0 f‖ ≤ C * ‖(f : L2R)‖

Formalization note: Lean 4 identifier BookProof.HermiteStrichartzQG.qg3D_not_bounded.

Preamble

-- Generated from ChapterStrichartzHermiteQG.lean — theorem BookProof.HermiteStrichartzQG.qg3D_not_bounded
import Definitions.Def_ChapterHermiteFunctions
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterQuantumGravityDensitized
open BookProof.QuantumGravityDensitized
open BookProof.HermiteStrichartzQG



open MeasureTheory BookProof.HermiteCore BookProof.FarisLavine
open BookProof.QuantumGravityDensitized

Formal statement

theorem BookProof.HermiteStrichartzQG.qg3D_not_bounded :
    ¬ ∃ C : ℝ, ∀ f : hermiteCore,
      ‖qg3DHermiteHamiltonian (fun k _ => (k : ℝ)) 0 0 f‖ ≤ C * ‖(f : L2R)‖ := by sorry

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