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Existence and uniqueness of the decision problem of optimum control in unlimited potential for nonlinear non-stationary Schrödinger equation - MaRDI portal

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Existence and uniqueness of the decision problem of optimum control in unlimited potential for nonlinear non-stationary Schrödinger equation (Q2838898)

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scientific article; zbMATH DE number 6183664
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English
Existence and uniqueness of the decision problem of optimum control in unlimited potential for nonlinear non-stationary Schrödinger equation
scientific article; zbMATH DE number 6183664

    Statements

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    3 July 2013
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    nonlinear non-stationary Schrödinger equation
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    control problem
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    Galerkins method
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    Existence and uniqueness of the decision problem of optimum control in unlimited potential for nonlinear non-stationary Schrödinger equation (English)
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    There are two approaches to solve control problem for nonlinear non-stationary Schrödinger equation when control parameters are considered as measurable bounded functions or other unbounded functions (potentials). Here, one of the variants of the second approach is realized. Existence and uniqueness theorems for the Schrödinger equation solution are proved. The Galerkin's method is used.
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