Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line (Q2281562)

scientific article

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English	Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line	scientific article

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instance of

scholarly article

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title

Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line (English)

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Discrete and Continuous Dynamical Systems

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publication date

3 January 2020

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full work available at URL

https://arxiv.org/abs/1810.09806

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zbMATH Keywords

derivative nonlinear Schrödinger equation

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unconditional well-posedness

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normal form method

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MaRDI profile type

MaRDI publication profile

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cites work

On the regularization mechanism for the periodic Korteweg-de Vries equation

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Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations

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Q5430047

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Global Well-Posedness for Schrödinger Equations with Derivative

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A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

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The derivative nonlinear Schrödinger equation on the half line

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Global Smoothing for the Periodic KdV Evolution

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A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation

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Q4462250

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Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data

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Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS

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Global well-posedness for the derivative nonlinear Schrödinger equation in \(H^{\frac {1}{2}} (\mathbb{R})\)

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The initial value problem for the derivative nonlinear Schrödinger equation in the energy space

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On the derivative nonlinear Schrödinger equation

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Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type

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Unconditional uniqueness results for the nonlinear Schrödinger equation

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Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities

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On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness

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An exact solution for a derivative nonlinear Schrödinger equation

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On Unconditional Well-Posedness of Modified KdV

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Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line

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Global Solvability of the Derivative Nonlinear Schrodinger Equation

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Global well-posedness for Schrödinger equation with derivative in \(H^{\frac {1}{2}} (\mathbb R)\)

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Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\)

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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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GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES

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Existence of Global Solutions to the Derivative NLS Equation with the Inverse Scattering Transform Method

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Small data well-posedness for derivative nonlinear Schrödinger equations

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Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity

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

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Unconditional uniqueness of the derivative nonlinear Schrödinger equation in energy space

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Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schrödinger equation

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Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space

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Global well-posedness on the derivative nonlinear Schrödinger equation

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Q4339406

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Identifiers

zbMATH Open document ID

1431.35177

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DOI

10.3934/dcds.2020003

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2281562