Random data theory for the cubic fourth-order nonlinear Schrödinger equation (Q2658863)

scientific article

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English	Random data theory for the cubic fourth-order nonlinear Schrödinger equation	scientific article

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instance of

scholarly article

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title

Random data theory for the cubic fourth-order nonlinear Schrödinger equation (English)

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author

Van Duong Dinh

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published in

Communications on Pure and Applied Analysis

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publication date

24 March 2021

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full work available at URL

https://arxiv.org/abs/2009.14453

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zbMATH Keywords

fourth-order nonlinear Schrödinger equation

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almost sure well-posedness

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Wiener randomization

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probabilistic Strichartz estimates

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MaRDI profile type

MaRDI publication profile

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cites work

Dispersion estimates for fourth order Schrödinger equations

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

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Blowup for Biharmonic NLS

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Invariant measures for the 2D-defocusing nonlinear Schrödinger equation

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

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Long time dynamics for the one dimensional non linear Schrödinger equation

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Random data Cauchy problem for the fourth order Schrödinger equation with the second order derivative nonlinearities

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Two-dimensional nonlinear Schrödinger equation with random radial data

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On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation

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Global existence and scattering for a class of nonlinear fourth-order Schrödinger equation below the energy space

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On blowup solutions to the focusing intercritical nonlinear fourth-order Schrödinger equation

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Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation

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Scattering for the focusingL2-supercritical andḢ2-subcritical biharmonic NLS equations

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

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Endpoint Strichartz estimates

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Almost sure scattering for the energy-critical NLS with radial data below H1(R4)

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Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps

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Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3

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Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case

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Scattering theory below energy for the cubic fourth-order Schrödinger equation

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On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities

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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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THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS

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Scattering theory for the fourth-order Schrödinger equation in low dimensions

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The probabilistic Cauchy problem for the fourth order Schrödinger equation with special derivative nonlinearities

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Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation

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Identifiers

zbMATH Open document ID

1460.35323

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DOI

10.3934/cpaa.2020284

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2658863