An inverse problem for a nonlinear Schrödinger equation

Bui An Ton

Abstract and Applied Analysis, 2002, vol. 7, 1-15

Abstract:

We study the dependence on the control q of the interval of definition of the solution u of the Cauchy problem ι u ′ + Δ u = − λ | u | 2 u − ι q u 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:545787

DOI: 10.1155/S1085337502204091

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