The \(\bar{\partial}\)-approach to monochromatic inverse scattering in three dimensions
type: Item
instance of: scholarly article
title: The \(\bar{\partial}\)-approach to monochromatic inverse scattering in three dimensions
zbMATH Open document ID: 1144.81032
published in: The Journal of Geometric Analysis
publication date: 2008-09-02T00:00:00Z
Mathematics Subject Classification ID: 81U40
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 5319682
zbMATH Keywords: monochromatic inverse scattering
zbMATH Keywords: \(\bar{\partial}\)-approach
zbMATH Keywords: stable nonlinearized reconstruction
zbMATH Keywords: ultrasonic tomography
author: R. G. Novikov
MaRDI profile type: Publication
full work available at URL: s12220-008-9015-1
OpenAlex ID: W1594052800
cites work: On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
cites work: Q3695656
cites work: Q3992922
cites work: Inverse scattering via Heisenberg's uncertainty principle
cites work: Q3882827
cites work: The inverse backscattering problem in three dimensions
cites work: Q5524681
cites work: Q4054075
cites work: Q4273956
cites work: Inverse scattering problem for the two-dimensional Schrödinger operator, the \({\bar\partial}\)-method and nonlinear equations
cites work: Q4725051
cites work: The Reconstruction of the Attracting Potential in the Sturm‐Liouville Equation through Characteristics of Negative Discrete Spectrum
cites work: The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
cites work: Exponential instability in an inverse problem for the Schrödinger equation
cites work: Construction of Potentials from the Phase Shifts at Fixed Energy
cites work: Construction of a two-dimensional Schrödinger operator with given scattering amplitude at fixed energy
cites work: Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy
cites work: The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator
cites work: The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential
cites work: Rapidly converging approximation in inverse quantum scattering in dimension \(2\).
cites work: Approximate inverse quantum scattering at fixed energy in dimension 2
cites work: The d-bar approach to approximate inverse scattering at fixed energy in three dimensions
cites work: Q4720091
cites work: Q3737844
cites work: Stability in diffraction tomography and a nonlinear ``basic theorem''
cites work: Introduction to complex orbital momenta
cites work: Q2762125
DOI: 10.1007/S12220-008-9015-1
description: scientific article; zbMATH DE number 5319682