Weak Solutions for Stochastic FitzHugh-Nagumo Equations

Authors: Paulo Marcelo Dias de Magalh atilde

es ^a; Edson Alberto Coayla-Ter aacute

n ^a

Affiliation:

^a Departamento de Matem aacute

tica, Instituto de Ci (e)circ

ncias Exatas e Biol oacute

gicas, Universidade Federal de Ouro Preto, Ouro Preto/MG, Brasil

DOI: 10.1081/SAP-120019294

Publication Frequency: 6 issues per year

Published in: journal

Stochastic Analysis and Applications, Volume 21, Issue 2 January 2003 , pages 443 - 463

Subjects: Statistics & Probability; Stochastic Models & Processes;

Formats available: HTML (English) : PDF (English)

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Abstract

This article studies the existence of weak solutions for a stochastic version of the FitzHugh-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.

Keywords: FitzHugh-Nagumo equations; Stochastic process; Measurable section; Primary 123; Secondary 456

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Weak Solutions for Stochastic FitzHugh-Nagumo Equations

Abstract