Optimal nonlinearity control of Schrödinger equation
type: Item
instance of: scholarly article
title: Optimal nonlinearity control of Schrödinger equation
zbMATH Open document ID: 1406.35371
author: Peng Zhang
published in: Evolution Equations and Control Theory
publication date: 2019-01-18T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35B34
Mathematics Subject Classification ID: 82C10
zbMATH DE Number: 7003546
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: nonlinearity control
zbMATH Keywords: objective functional
zbMATH Keywords: Fréchet-differentiability
zbMATH Keywords: optimal condition
MaRDI profile type: Publication
full work available at URL: eect.2018016
OpenAlex ID: W2800837908
cites work: Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control
cites work: Nonlinear Schrödinger equation with time dependent potential
cites work: Q4434430
cites work: A Schrödinger equation with time-oscillating nonlinearity
cites work: Quantum control of Bose–Einstein condensates using Feshbach resonance
cites work: Q3437336
cites work: Parametric resonance of ground states in the nonlinear Schrödinger equation
cites work: Blow-up solutions to the nonlinear Schrödinger equation with oscillating nonlinearities
cites work: A Schrödinger equation with time-oscillating critical nonlinearity
cites work: Q5409392
cites work: Optimal bilinear control of nonlinear Hartree equations with singular potentials
cites work: Optimal bilinear control of nonlinear Schrödinger equations with singular potentials
cites work: Optimal bilinear control of Gross-Pitaevskii equations with Coulombian potentials
cites work: Optimal bilinear control of Gross-Pitaevskii equations
cites work: Optimal Bilinear Control of an Abstract Schrödinger Equation
cites work: Nonlinearity management in higher dimensions
cites work: Blow-up of solutions of nonlinear Schrödinger equations with oscillating nonlinearities
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Blow-up profile to solutions of NLS with oscillating nonlinearities
DOI: 10.3934/EECT.2018016
Recommended article: Optimal control problem for nonstationary Schrödinger equation
Recommended article: Optimal control of a nonlinear stochastic Schrödinger equation
Recommended article: On the optimal control problem for linear Schrödinger equation
Recommended article: A variational method of optimal control problems for nonlinear Schrödinger equations
Recommended article: Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state
Recommended article: Q5402639
Recommended article: Optimal control of a linear stochastic Schrödinger equation
Recommended article: Optimal Bilinear Control of an Abstract Schrödinger Equation
Recommended article: Optimal bilinear control of the coupled nonlinear Schrödinger system
Recommended article: Optimal bilinear control of nonlinear Schrödinger equations with singular potentials
description: scientific article; zbMATH DE number 7003546