Optimal control of a nonlinear stochastic Schrödinger equation

DOI10.1007/s10957-013-0399-0zbMath1339.49022OpenAlexW2068544531MaRDI QIDQ261987

Diana Keller

Publication date: 29 March 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-013-0399-0

zbMATH Keywords

optimal controlgradient methodnecessary optimality conditionadditive Gaussian noiseadjoint problemnonlinear stochastic Schrödinger equation

Mathematics Subject Classification ID

Gaussian processes (60G15) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Optimality conditions for problems involving randomness (49K45)

Related Items (4)

Effective wave factorization for a stochastic Schrödinger equation ⋮ Optimal Control for Stochastic Nonlinear Schrödinger Equation on Graph ⋮ Optimal bilinear control of stochastic nonlinear Schrödinger equations: mass-(sub)critical case ⋮ Optimal control results for a class of stochastic Schrödinger equations

Cites Work

• Optimal control of a linear stochastic Schrödinger equation
• An estimate for the solution of a perturbed nonlinear quantum-mechanical problem
• An optimal control problem governed by the potential of a linear Schrödinger equation
• A concise course on stochastic partial differential equations
• The Stochastic Nonlinear Schrödinger Equation inH¹
• Approximation of Stochastic Nonlinear Equations of Schrödinger Type by the Splitting Method
• Stochastic Nonlinear Equations of Schrödinger Type
• Stochastic Equations in Infinite Dimensions

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