Blow-up for the Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise
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چکیده
We study the influence of a multiplicative Gaussian noise, white in time and correlated in space, on the blow-up phenomenon in the supercritical nonlinear Schrödinger equation. We prove that any sufficiently regular and localized deterministic initial data gives rise to a solution which blows up in arbitrarily small time with a positive probability.
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تاریخ انتشار 2005