An inverse problem for a nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: An inverse problem for a nonlinear Schrödinger equation
zbMATH Open document ID: 1009.35077
DOI: 10.1155/S1085337502204091
author: Bui An Ton
published in: Abstract and Applied Analysis
publication date: 2002-10-15T00:00:00Z
full work available at URL: https://eudml.org/doc/49905
review text: Summary: We study the dependence on the control \(q\) of the interval of definition of the solution \(u\) of the Cauchy problem \(\iota u'+\Delta u=-\lambda |u|{2}u-\iota qu\) in \({\mathbb{R}}^{2}\times (0,T)\), \(u(x,0)=\omega\) in \({\mathbb{R}}^{2}\), 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 \({\mathbb{R}}^{2}\) are established.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 1814786
zbMATH Keywords: dependence on the control
zbMATH Keywords: Cauchy problem
zbMATH Keywords: feedback laws
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1814786