Weak Solutions for Stochastic FitzHugh-Nagumo Equations.

Citation:

P. M. Dias de Magalhães C-TEA. Weak Solutions for Stochastic FitzHugh-Nagumo Equations. Stochastic Analysis and Applications. 2003;21(2):443-463.

Abstract:

This article studies the existence of weak solutions for a stochastic version of the FtzHugh-Nagumo equations. The random elements are introduced through initial values and forcing terms of associated Cauchy problem, which may be white noise in the time. Moreover there is a dependence of a stochastic  parameter.