Random data Cauchy problem for the fourth order Schrödinger equation with the second order derivative nonlinearities (Q2280390)

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

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scholarly article

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title

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

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

18 December 2019

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zbMATH Keywords

random initial data

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fourth order Schrödinger equation

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supercritical well-posedness

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.na.2019.111608

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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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Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case

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

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Invariant measures and long time behaviour for the Benjamin-Ono equation. III

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

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Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data

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

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Note on a modification to the nonlinear Schrödinger equation for application to deep water waves

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

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Well-posedness and scattering for fourth order nonlinear Schrödinger type equations at the scaling critical regularity

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The Cauchy problem for the fourth-order nonlinear Schrödinger equation related to the vortex filament

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A Refined Well-Posedness for the Fourth-Order Nonlinear Schrödinger Equation Related to the Vortex Filament

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Well-posedness for the fourth-order nonlinear derivative Schrödinger equation in higher dimension

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Self-Focusing with Fourth-Order Dispersion

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

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

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On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on \(\mathbb R^{3}\)

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

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

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The cubic fourth-order Schrödinger equation

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Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces

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Invariant measures for the defocusing nonlinear Schrödinger equation

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The global Cauchy problem for the NLS and NLKG with small rough data

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Q3009497

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Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations

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Identifiers

zbMATH Open document ID

1433.35356

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DOI

10.1016/j.na.2019.111608

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2280390