Inverse backscattering in two dimensions

DOI10.1007/BF02102037zbMath0728.35146OpenAlexW2084782137MaRDI QIDQ804848

J. V. Ralston, Gregory Eskin

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02102037

zbMATH Keywords

inverse backscatteringbackscattering amplitude

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

Related Items (17)

Inverse backscattering ⋮ Geometric approach to inverse scattering for hydrogen-like systems in a homogeneous magnetic field ⋮ The back-scattering problem in three dimensions ⋮ Inverse backscattering problem for perturbations of biharmonic operator ⋮ Inverse scattering problem for the high order Schrödinger operator at fixed angles scattering amplitude ⋮ The geometrical approach to multidimensional inverse scattering ⋮ Inverse scattering problem for a two dimensional random potential ⋮ Inverse scattering with fixed observation angle data in 2D ⋮ Correlation imaging in inverse scattering is tomography on probability distributions ⋮ RECOVERING SINGULARITIES FROM BACKSCATTERING IN TWO DIMENSIONS ⋮ Inverse backscattering problem for Maxwell's equations ⋮ Partial Recovery of a Potential from Backscattering Data ⋮ Numerical approximation of the potential in the two-dimesional inverse scattering problem ⋮ A New Convergent Algorithm to Approximate Potentials from Fixed Angle Scattering Data ⋮ Inverse backscattering for the elastic wave equations ⋮ Inverse backscattering problem for the acoustic equation in even dimensions ⋮ Inverse scattering for a random potential

Cites Work

• Unnamed Item
• The inverse backscattering problem in three dimensions
• Inverse problem of quantum scattering theory. II
• Scattering by a Potential Using Hyperbolic Methods
• Inverse scattering in dimension two
• A Multidimensional Inverse-Scattering Method
• The $ \bar\partial$-equation in the multidimensional inverse scattering problem
• Generalized limiting absorption method and multidimensional inverse scattering theory

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