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Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite <i>L</i><sup>2</sup> norm - MaRDI portal

Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite <i>L</i><sup>2</sup> norm (Q6089558)

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scientific article; zbMATH DE number 7778777

Language	Label	Description	Also known as
English	Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite <i>L</i><sup>2</sup> norm	scientific article; zbMATH DE number 7778777

Statements

scholarly article

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Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite <i>L</i><sup>2</sup> norm (English)

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Studies in Applied Mathematics

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publication date

15 December 2023

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full work available at URL

https://arxiv.org/abs/2211.05329

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zbMATH Keywords

fourth-order nonlinear Schrödinger equation

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KdV

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scaling limit of modulation space

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well-posedness

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MaRDI profile type

MaRDI publication profile

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Unimodular Fourier multipliers for modulation spaces

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

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

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Globally well and ill posedness for non-elliptic derivative Schrödinger equations with small rough data

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Phase space analysis of semilinear parabolic equations

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Well-posedness for the generalized Zakharov-Kuznetsov equation on modulation spaces

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On global well-posedness of the modified KdV equation in modulation spaces

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The dilation property of modulation spaces and their inclusion relation with Besov spaces

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Modulation spaces with scaling symmetry

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Scaling limit of modulation spaces and their applications

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The embedding property of the scaling limit of modulation spaces

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Well-posedness and ill-posedness for the fourth order cubic nonlinear Schrödinger equation in negative Sobolev spaces

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The cubic fourth-order Schrödinger equation

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Nonlinear fourth-order Schrödinger equations with radial data

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Scattering of solutions to the fourth-order nonlinear Schrödinger equation

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Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case

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Scattering operator for the fourth order nonlinear Schrödinger equation

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GLOBAL WELL-POSEDNESS FOR THE GENERALISED FOURTH-ORDER SCHRÖDINGER EQUATION

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

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Large time asymptotics for the fourth-order nonlinear Schrödinger equation

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Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case

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Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament.

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

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

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

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On the ill-posedness of some canonical dispersive equations.

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On the Cauchy Problem for the Generalized Korteweg-de Vries Equation

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

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Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\)

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Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces

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Modulation theory solution for nonlinearly resonant, fifth‐order Korteweg–de Vries, nonclassical, traveling dispersive shock waves

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Foundations of time-frequency analysis

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Modulation Spaces

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Well-posedness results for the generalized Benjamin-Ono equation with small initial data.

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1111/SAPM.12559

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Sitelinks

Mathematics(1 entry)

mardi Publication:6089558

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