An inverse problem for a nonlinear Schrödinger equation

Bui An Ton

Abstract and Applied Analysis, 2002, vol. 7, issue 7, 385-399

Abstract: We study the dependence on the control q of the interval of definition of the solution u of the Cauchy problem ιu′ + Δ u = −λ|u| 2u − ιqu in ℝ 2 × (0, T), u(x, 0) = ω in ℝ 2, and we prove a version of Fibich′s conjecture. Feedback laws for an inverse problem of the above equation with experimental data, measured on a portion of the boundary of an open, bounded subset of ℝ 2 are established.

Date: 2002
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https://doi.org/10.1155/S1085337502204091

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:7:p:385-399

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