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Название: Polynomially Decaying Transmission for the Nonlinear Schrodinger Equation in a Random Medium
Авторы: Devillard P., Souillard B.
Journal of Statistical Physics, Vol. 43, Nos. 3/4, 1986. p. 423-439.
This is the first study of one of the transmission problems associate to the nonlinear Schr6dinger equation with a random potential. We show that for almost every realization of the medium the rate of transmission vanishes when increasing the size of the medium; however, whereas it decays exponentially in the linear regime, it decays polynomially in the nonlinear one.