Probabilistic well-posedness of generalized KdV (Q4590983)

scientific article; zbMATH DE number 6810506

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English	Probabilistic well-posedness of generalized KdV	scientific article; zbMATH DE number 6810506

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instance of

scholarly article

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title

Probabilistic well-posedness of generalized KdV (English)

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Proceedings of the American Mathematical Society

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publication date

21 November 2017

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zbMATH Keywords

probabilistic local smoothing estimate

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well-posedness

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generalized KdV

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/proc/13718

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cites work

Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS

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On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3

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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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Invariant measures for the Gross-Pitaevskii equation

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Periodic nonlinear Schrödinger equation and invariant measures

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Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball. II: the 3D case

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Random data Cauchy theory for supercritical wave equations I: Local theory

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Probabilistic well-posedness for the cubic wave equation

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

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

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Two-dimensional nonlinear Schrödinger equation with random radial data

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Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation

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Random data Cauchy theory for the generalized incompressible Navier-Stokes equations

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Global rough solutions to the critical generalized KdV equation

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The supercritical generalized KdV equation: global well-posedness in the energy space and below

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Random data Cauchy problem for the nonlinear Schrödinger equation with derivative nonlinearity

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Q3342896

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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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A bilinear estimate with applications to the KdV equation

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Bilinear local smoothing estimate for Airy equation.

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Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup>

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Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations

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Remarks on Nonlinear Smoothing under Randomization for the Periodic KdV and the Cubic Szegö Equation

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Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on \(\mathbb R^3\)

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On invariant Gibbs measures for the generalized KdV equations

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Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\)

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Invariance of the Gibbs measure for the periodic quartic gKdV

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Well-posedness for the supercritical gKdV equation

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

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Q5475508

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Random data Cauchy problem for supercritical Schrödinger equations

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Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations

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Identifiers

zbMATH Open document ID

1391.35341

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4590983