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Ikeda, M. and Inui, T. (2015) Some Non-Existence Results for the Semilinear Schrödinger Equation without Gauge Invariance. Journal of Mathematical Analysis and Applications, 425, 758-773.
https://doi.org/10.1016/j.jmaa.2015.01.003

has been cited by the following article:

• TITLE: The Nonexistence of Global Solutions for a Time Fractional Schrödinger Equation with Nonlinear Memory

  AUTHORS: Yaning Li, Quanguo Zhang

  KEYWORDS: Fractional Schrödinger Equation, Nonexistence, Cauchy Problems, Nonlinear Memory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.7, July 10, 2018

  ABSTRACT: In this paper, we study the nonexistence of solutions of the following time fractional nonlinear Schr?dinger equations with nonlinear memory where 0, ιλ denotes the principal value of ιλ, p>1, T>0, λ∈C/{0}, u(t,x) is a complex-value function, denotes left Riemann-Liouville fractional integrals of order 1-λ and is the Caputo fractional derivative of order . We obtain that the problem admits no global weak solution when and under different conditions for initial data.