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Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator
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    Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator (English)
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    8 February 2016
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    The authors consider the initial-boundary value problem for the fractional Schrödinger equation, (the fractional derivative operator defined by the Riesz potential) posed on positive half-line \(x>0\): The global existence in time and asymptotics of solutions to the initial-boundary value problem was proved. Their main goal is to obtain the large time asymptotics of solutions.
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    cubic nonlinear fractional Schrödinger equation
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    initial-boundary value problem
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    global-in-time analysis
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    asymptotics of solutions
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