GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES (Q4643220)

scientific article; zbMATH DE number 6872448

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English	GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES	scientific article; zbMATH DE number 6872448

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instance of

scholarly article

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title

GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES (English)

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Forum of Mathematics, Sigma

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publication date

24 May 2018

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full work available at URL

https://arxiv.org/abs/1707.02013

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zbMATH Keywords

fourth order NLS equation

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low regularity

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existence

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enhanced uniqueness

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normal form reduction

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MaRDI profile type

MaRDI publication profile

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cites work

On the regularization mechanism for the periodic Korteweg-de Vries equation

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Dispersion estimates for fourth order Schrödinger equations

0 references

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

0 references

Invariant measures for the 2D-defocusing nonlinear Schrödinger equation

0 references

An instability property of the nonlinear Schrödinger equation on $S^d$

0 references

Ill-Posedness of the Cubic Nonlinear Half-Wave Equation and Other Fractional NLS on the Real Line

0 references

Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

0 references

A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order

0 references

Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle

0 references

A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

0 references

Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

0 references

Multilinear estimates for periodic KdV equations, and applications

0 references

Almost sure well-posedness of the cubic nonlinear Schrödinger equation below $L^{2}(\mathbb{T})$

0 references

Self-Focusing with Fourth-Order Dispersion

0 references

Local well-posedness and a priori bounds for the modified Benjamin-Ono equation

0 references

Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS

0 references

Non-Existence of Solutions for the Periodic Cubic NLS below ${L}^{{2}}$

0 references

Q3856819

0 references

Global well-posedness of the KP-I initial-value problem in the energy space

0 references

Stabilization of soliton instabilities by higher order dispersion: KdV-type equations.

0 references

Solitons and their stability in high dispersive systems. I: Fourth-order nonlinear Schrödinger-type equations with power-law nonlinearities

0 references

Well-posedness for the fifth-order KdV equation in the energy space

0 references

A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces

0 references

Energy and local energy bounds for the 1-d cubic NLS equation in $H^{-\frac{1}{4}}$

0 references

Q4808272

0 references

Periodic fourth-order cubic NLS: local well-posedness and non-squeezing property

0 references

Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces.

0 references

On unconditional well-posedness for the periodic modified Korteweg-de Vries equation

0 references

Local well-posedness in low regularity of the mKdV equation with periodic boundary condition

0 references

An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

0 references

On the one-dimensional cubic nonlinear Schrödinger equation below $L^{2}$

0 references

A Pedestrian approach to the invariant Gibbs measures for the 2-$d$ defocusing nonlinear Schrödinger equations

0 references

Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

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Solving the 4NLS with white noise initial data

0 references

On the ill-posedness of the cubic nonlinear Schr\"odinger equation on the circle

0 references

Q4650706

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Identifiers

zbMATH Open document ID

1431.35178

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DOI

10.1017/fms.2018.4

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4643220