Mapping Properties of the Nonlinear Fourier Transform in Dimension Two

DOI10.1080/03605300500530412zbMath1117.81133OpenAlexW2035897124MaRDI QIDQ5294653

Jennifer L. Mueller, Samuli Siltanen, Matti Lassas

Publication date: 25 July 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300500530412

zbMATH Keywords

Fourier transformevolution equationSchrödinger equationexponentially growing solutioninverse scatteringNovikov-Veselov equationcomplex geometrical optics

Mathematics Subject Classification ID

Related Items (7)

Global Solutions for the zero-energy Novikov–Veselov equation by inverse scattering ⋮ Absence of conductivity-type solitons for the Novikov-Veselov equation at zero energy ⋮ The D-bar method for electrical impedance tomography—demystified ⋮ The Novikov-Veselov equation and the inverse scattering method. I: Analysis ⋮ Stability of Calderón inverse conductivity problem in the plane ⋮ The nonlinear Fourier transform for two-dimensional subcritical potentials ⋮ Well-posedness and ill-posedness results for the Novikov-Veselov equation

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