Article,

Asymptotic properties of the solutions to stochastic KPP equations

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Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, 130 (06): 1363--1381 (December 2000)
DOI: 10.1017/S030821050000072X

Abstract

A reduction method is used to prove existence and uniqueness of strong solutions to stochastic KPP equations, where the initial condition may be anticipating. The asymptotic behavior of the solution for large time and space and the random travelling waves are then studied under two different basic assumptions.

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