Regularization by noise in nonlinear evolution equations

Yoshio Tsutsumi (Dep. Math., Kyoto Univ.)
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.