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Global Existence and Long-Term Behavior of a Nonlinear Schrödinger-Type Equation

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Ukrainian Mathematical Journal Aims and scope

We study a global mixed problem for the nonlinear Schrödinger equation with a nonlinear term in which the coefficient is a generalized function. A global solvability theorem for the analyzed problem is proved by using the general solvability theorem from [K. N. Soltanov, Nonlin. Anal.: Theory, Meth., Appl., 72, No. 1 (2010)]. We also investigate the behavior of the solution of the problem under consideration.

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Authors and Affiliations

  1. Hacettepe University, Ankara, Turkey

    K. N. Soltanov

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  1. K. N. Soltanov
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 1, pp. 68–87, January, 2015.

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Soltanov, K.N. Global Existence and Long-Term Behavior of a Nonlinear Schrödinger-Type Equation. Ukr Math J 67, 74–97 (2015). https://doi.org/10.1007/s11253-015-1066-4

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  • DOI: https://doi.org/10.1007/s11253-015-1066-4

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