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Inverse problem for an inhomogeneous Schrödinger equation (1999)

Ramm, A. G.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 40 (1999), S. 3876-3880

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Let (l−k2)u=−u″+q(x)u−k2u=δ(x), x∈R, ∂u/∂|x|−iku→0, |x|→∞. Assume that the potential q(x) is real valued and compactly supported: q(x)=q(x), q(x)=0 for |x|≥1, ∫−11|q|dx〈∞, and that q(x) produces no bound states. Let u(−1,k) and u(1,k), ∀k〉0 be the data. It is shown that under the above assumptions these data determine q(x) uniquely. © 1999 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.532930

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