Global Solutions for the zero-energy Novikov–Veselov equation by inverse scattering (Q3176545)

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English	Global Solutions for the zero-energy Novikov–Veselov equation by inverse scattering	scientific article

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title

Global Solutions for the zero-energy Novikov–Veselov equation by inverse scattering (English)

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23 July 2018

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full work available at URL

https://arxiv.org/abs/1502.02632

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zbMATH Keywords

Novikov-Veselov equation

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inverse scattering

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dbar-method

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MaRDI profile type

MaRDI publication profile

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cites work

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Well-posedness and ill-posedness results for the Novikov-Veselov equation

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Applications of a commutation formula

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On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation

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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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Two-dimensional ``inverse scattering problem'' for negative energies and generalized-analytic functions. I: Energies below the ground state

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Faddeev eigenfunctions for point potentials in two dimensions

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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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Numerical study of blow-up and stability of line solitons for the Novikov–Veselov equation

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Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation

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

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The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation

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Structure of positive solutions to \((-\Delta +V)u=0\) in \(R^ n\)

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The nonlinear Fourier transform for two-dimensional subcritical potentials

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Exceptional circles of radial potentials

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Miura maps and inverse scattering for the Novikov-Veselov equation

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Q3836480

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Large time behavior of the \(L^ p\) norm of Schrödinger semigroups

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Blowing up solutions of the Novikov-Veselov equation

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On the Moutard transformation and its applications to spectral theory and soliton equations

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Faddeev eigenfunctions for two-dimensional Schrödinger operators via the moutard transformation

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Q4720091

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A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

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Identifiers

zbMATH Open document ID

1396.37074

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DOI

10.1088/1361-6544/aaba3c

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:3176545