Variational method for the solution of an inverse problem

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• 作者：N. Yildirim Aksoy ^{nyaksoy55@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35R30 ; 35J10 ; 49J40
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：312
• 期：Complete
• 页码：82-93
• 全文大小：445 K

文摘

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.