import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingApproximateExistence import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingCompactProductLimit import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingContinuousStep import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingCoordinateSequence import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingDecayingDuhamel import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingEnergyObservation import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingModeConverse import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingNearbyTransfer import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingObservedFamily import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingOddCompactness import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingPerturbationEquation import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingPhysicalTermDerivative import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingProfileEquation import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingProfilePhysicalEquation import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingSlabTrajectory import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingStableSequence import OAI.MathematicalPhysics.DefocusingNLS.Linear.ExpandingStepMapContinuity import OAI.MathematicalPhysics.DefocusingNLS.Linear.HarmonicRadialLinearCombination import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousAngularUpper import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousComplexPotential import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousDerivativeTesting import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousDiagonalCoordinates import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousEnergyGenerator import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousGluedMatchingMode import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousHamiltonian import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousJordanChannels import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousLocalizationContinuity import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousMatchedContour import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousMatchedJordanMode import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousMatchedPotential import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousMatchedRadialC2 import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousPhysicalCoordinates import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousPhysicalDuality import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousSchwartzFrame import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousSpectralLocalizationBarrier import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousSpectralLocalizationRemote import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousSpectralLocalizationSubunit import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousSpectralLocalizationWKB import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousSpectralPower import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousSymmetryDimension import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousSymmetryProjection import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousTaylorRemainder import OAI.MathematicalPhysics.DefocusingNLS.Linear.HomogeneousTimeOneDecomposition import OAI.MathematicalPhysics.DefocusingNLS.Linear.SchwartzCompactContinuity import OAI.MathematicalPhysics.DefocusingNLS.Linear.SchwartzCutoffDerivative import OAI.MathematicalPhysics.DefocusingNLS.Linear.SchwartzLocalizationLimit import OAI.MathematicalPhysics.DefocusingNLS.Linear.SchwartzProfileSampling import OAI.MathematicalPhysics.DefocusingNLS.Linear.SchwartzSampleContinuity import OAI.MathematicalPhysics.DefocusingNLS.Linear.SchwartzSampleLipschitz import OAI.MathematicalPhysics.DefocusingNLS.Linear.SemigroupStableBlocks import OAI.MathematicalPhysics.DefocusingNLS.Linear.SobolevCompactStability import OAI.MathematicalPhysics.DefocusingNLS.Linear.SobolevContinuation import OAI.MathematicalPhysics.DefocusingNLS.Linear.SobolevContinuousDependence import OAI.MathematicalPhysics.DefocusingNLS.Linear.SobolevEvaluationContinuity import OAI.MathematicalPhysics.DefocusingNLS.Linear.SobolevLinearization import OAI.MathematicalPhysics.DefocusingNLS.Linear.SobolevResidualStability import OAI.MathematicalPhysics.DefocusingNLS.Linear.SobolevSymmetryFlow import OAI.MathematicalPhysics.DefocusingNLS.Linear.TorusDiscreteLinearData import OAI.MathematicalPhysics.DefocusingNLS.Linear.TorusLinearStepAssembly /-! Sobolev estimates and linear decay on expanding tori. -/