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Regularization by noise in nonlinear evolution equations

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강연자 Yoshio Tsutsumi
소속 Dep. Math., Kyoto Univ.
date 2013-02-19

There are some phenomena called "regularization by noise" in nonlinear evolution equations.
This means that if you add a noise to the system, the system would have a better property than without noise.
As one of examples, I will explain this phenomenon for the 1D quintic nonlinear Schrodinger equation with white noise dispersion, which models the propagation of signals in the optical fiber.

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