Well-posedness and ill-posedness results for the Novikov-Veselov equation (Q256258)

scientific article

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English	Well-posedness and ill-posedness results for the Novikov-Veselov equation	scientific article

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instance of

scholarly article

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title

Well-posedness and ill-posedness results for the Novikov-Veselov equation (English)

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author

Yannis Angelopoulos

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published in

Communications on Pure and Applied Analysis

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publication date

9 March 2016

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full work available at URL

https://arxiv.org/abs/1307.4110

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zbMATH Keywords

Novikov-Veselov equation

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dispersive equation

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multilinear estimates

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Fourier restriction norm method

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MaRDI profile type

MaRDI publication profile

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cites work

Veselov-Novikov equation as a natural two-dimensional generalization of the Korteweg-de Vries equation

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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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On the Cauchy problem for the Kadomtsev-Petviashvili equation

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Periodic Korteweg-de Vries equation with measures as initial data

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Q5494648

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Restriction for homogeneous polynomial surfaces in $\mathbb {R}^3$

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Maximal functions associated to filtrations

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Q4881227

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Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity

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Inverse scattering problem for the two-dimensional Schrödinger operator, the ${\bar\partial}$-method and nonlinear equations

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The Fourier restriction norm method for the Zakharov-Kuznetsov equation

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A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds

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A large-time asymptotics for the solution of the Cauchy problem for the Novikov–Veselov equation at negative energy with non-singular scattering data

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Large time asymptotics for the Grinevich-Zakharov potentials

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Absence of exponentially localized solitons for the Novikov–Veselov equation at negative energy

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Mapping Properties of the Nonlinear Fourier Transform in Dimension Two

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The Novikov-Veselov equation and the inverse scattering method. I: Analysis

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Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation

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Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton

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The Cauchy problem for the 3D Zakharov-Kuznetsov equation

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Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications

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Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation

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Ill-Posedness Issues for the Benjamin--Ono and Related Equations

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Global well-posedness for the KP-II equation on the background of a non-localized solution

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Classical and Multilinear Harmonic Analysis

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Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy

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Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations

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Miura maps and inverse scattering for the Novikov-Veselov equation

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Strichartz estimates for Schrödinger equations with variable coefficients

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STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS

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Q5475508

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Remark on the local ill-posedness for KdV equation

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Identifiers

zbMATH Open document ID

1332.35318

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Mathematics Subject Classification ID

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10.3934/CPAA.2016.15.727

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Sitelinks

Mathematics(1 entry)

mardi Publication:256258