THE INVERSE SCATTERING PROBLEM IN TWO DIMENSIONS AT FIXED ENERGY*

DOI10.1081/PDE-100002388zbMath0985.35101MaRDI QIDQ2747905

Gregory Eskin

Publication date: 22 May 2002

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

zbMATH Keywords

potentialSchrödinger equationscattering amplitudeuniqueness of reconstruction

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Inverse Scattering Problem for the Schrödinger Operator with External Yang–Mills Potentials in Two Dimensions at Fixed Energy ⋮ The use of the linear sampling method for obtaining super-resolution effects in Born approximation ⋮ Inverse scattering at fixed energy on surfaces with Euclidean ends ⋮ Recovering a potential from Cauchy data in the two-dimensional case

Cites Work

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• A uniqueness theorem for an inverse boundary value problem in electrical prospection
• Inverse coefficient problems in perturbed half spaces
• Global Uniqueness for a Two-Dimensional Semilinear Elliptic Inverse Problem
• The inverse scattering at fixed energies in two dimensions

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