Variational method for determining the complex-valued coefficients of a nonlinear nonstationary Schrödinger-type equation

DOI10.1134/S096554252011010XzbMath1455.78012OpenAlexW3111913712MaRDI QIDQ2214616

M. A. Musaeva

Publication date: 10 December 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554252011010x

zbMATH Keywords

inverse problemvariational problemiterative regularizationSchrödinger-type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Electromagnetic interaction; quantum electrodynamics (81V10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• Existence de solutions pour des problèmes d'optimisation non convexe
• Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control
• On Existence of Optimal Control

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