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Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions - MaRDI portal

Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions (Q2126593)

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Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions
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    Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions (English)
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    19 April 2022
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    The authors consider the global solutions of a fourth-order equation, involving the second power of the Laplacian and odd power nonlinearities. Solutions can be regarded as standing waves to a corresponding fourth-order Schrodinger equation, of relevance in Mathematical Physics. In the discussion, the authors use an interesting modified version of the classical maximum principle approach. The editors-in-chief of the journal have retracted this article, for the motivations, see the retraction note [ibid. 2021, Paper No. 24, 1 p. (2021; Zbl 07509868)].
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    quasilinear Schrödinger equation
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    global solution
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    maximum principle approach
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