File size: 4,738 Bytes
fac6777 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 | 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. -/
|