Article ID Journal Published Year Pages File Type
4637715 Journal of Computational and Applied Mathematics 2017 12 Pages PDF
Abstract

This paper presents a variational method for the solution of an inverse problem. An inverse problem of determining the unknown coefficient of nonlinear time-dependent Schrödinger equation is considered. Inverse problem is reformulated as a variational problem by means of an observation functional. The existence and uniqueness of solutions of the constituted variational problem are investigated. The differentiability of observation functional is obtained and a necessary condition for the solution of the variational problem is given.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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