Partial identification of the potential from phase shifts

DOI10.1016/j.jmaa.2010.10.071zbMath1221.34229OpenAlexW1981734568MaRDI QIDQ536276

Miklós Horváth

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.071

zbMATH Keywords

scattering amplitudeinverse scatteringphase shifts

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Inverse problems involving ordinary differential equations (34A55) Asymptotic properties of solutions to ordinary differential equations (34D05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds, Local inverse scattering at a fixed energy for radial Schrödinger operators and localization of the Regge poles, Stability in the inverse Steklov problem on warped product Riemannian manifolds

Cites Work

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• The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential
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• The stability of inverse scattering with fixed energy
• SOLUTION OF THE INVERSE SCATTERING PROBLEM AT FIXED ENERGY FOR POTENTIALS BEING ZERO BEYOND A FIXED RADIUS
• NOTES ON THE DISTRIBUTION OF PHASE SHIFTS
• Stable determination of conductivity by boundary measurements
• Formula for the radius of the support of the potential in terms of scattering data
• Recovery of the potential from fixed-energy scattering data