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

Periodic fourth-order cubic NLS: local well-posedness and non-squeezing property (Q1706545)

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Language	Label	Description	Also known as
English	Periodic fourth-order cubic NLS: local well-posedness and non-squeezing property	scientific article

Statements

scholarly article

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

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Journal of Mathematical Analysis and Applications

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publication date

22 March 2018

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full work available at URL

https://arxiv.org/abs/1708.00127

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zbMATH Keywords

fourth-order NLS

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Wick ordered NLS

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local well-posedness

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non-squeezing property

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MaRDI profile type

MaRDI publication profile

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Dispersion estimates for fourth order Schrödinger equations

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

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An instability property of the nonlinear Schrödinger equation on \(S^d\)

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

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

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Multilinear estimates for periodic KdV equations, and applications

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Symplectic nonsqueezing of the Korteweg-de Vries flow

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

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Self-Focusing with Fourth-Order Dispersion

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Pseudo holomorphic curves in symplectic manifolds

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

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The global Cauchy problem and scattering of solutions for nonlinear Schrödinger equations in \(H^s\).

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Wellposedness for the fourth order nonlinear Schrödinger equations

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Well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces

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Global well-posedness and nonsqueezing property for the higher-order KdV-type flow

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Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion

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A bilinear estimate with applications to the KdV equation

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Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2

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Symplectic Non-Squeezing for the Cubic NLS on the Line

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Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's

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

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

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

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

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

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Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case

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The focusing energy-critical fourth-order Schrödinger equation with radial data

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The cubic fourth-order Schrödinger equation

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A symplectic non-squeezing theorem for BBM equation

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Modified wave operators for the fourth-order non-linear Schrödinger-type equation with cubic non-linearity

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Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations

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Identifiers

zbMATH Open document ID

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10.1016/j.jmaa.2018.01.040

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1706545

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