Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³ (Q3120535)

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English	Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³	scientific article

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title

Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³ (English)

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Transactions of the American Mathematical Society, Series B

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publication date

5 March 2019

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full work available at URL

https://arxiv.org/abs/1709.01910

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zbMATH Keywords

nonlinear Schrödinger equation

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almost sure well-posedness

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power series expansion

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MaRDI profile type

MaRDI publication profile

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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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Q4393968

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Almost sure local well-posedness for the supercritical quintic NLS

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Probabilistic well-posedness for the cubic wave equation

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Q3469592

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Q5430047

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Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup>

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Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when \(n = 3\) via a linear-nonlinear decomposition

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Smoothing properties and retarded estimates for some dispersive evolution equations

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Lectures on singular stochastic PDEs

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Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space'' [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]

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Introduction to regularity structures

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Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\)

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

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A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation

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Q4282623

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Endpoint Strichartz estimates

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Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions

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

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

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Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger

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Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space

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A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schr&ouml;dinger Equations in Negative Sobolev Spaces

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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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Solving the 4NLS with white noise initial data

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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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An \(L^p\)-theory for almost sure local well-posedness of the nonlinear Schrödinger equations

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Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator

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Identifiers

zbMATH Open document ID

1410.35195

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DOI

10.1090/btran/29

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:3120535