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Recovery of the potential from fixed-energy scattering data

Unknown author(s)

Inverse Problems · 1988 · 162 citations · 9 references

DOI

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Abstract

It is proved that the scattering amplitude A(O', 0, k) known at a fixed k for all 8, 0 ' E S ' determines a compactly supported q(x) uniquely. A numerical procedure for recovery of the potential is given.

References

9

A Global Uniqueness Theorem for an Inverse Boundary Value Problem

John Sylvester, Günther Uhlmann · Annals of Mathematics · 1987 · 1.5K citations

, , +17

Multidimensional inverse problems and completeness of the products of solutions to PDE

Journal of Mathematical Analysis and Applications · 1988 · 76 citations

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Completeness of the products of solutions to PDE and uniqueness theorems in inverse scattering

Inverse Problems · 1987 · 53 citations

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Uniqueness theorems for multidimensional inverse problems with unbounded coefficients

Journal of Mathematical Analysis and Applications · 1988 · 39 citations

, , +16

A uniqueness theorem for a boundary inverse problem

Inverse Problems · 1988 · 21 citations

, , +16