Stochastic Order Methods Applied to Stochastic Travelling Waves
Nicholas Woodward (University of Warwick)
Abstract
This paper considers some one dimensional reaction diffusion equations driven by a one dimensional multiplicative white noise. The existence of a stochastic travelling wave solution is established, as well as a sufficient condition to be in its domain of attraction. The arguments use stochastic ordering techniques.
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Pages: 436-469
Publication Date: March 9, 2011
DOI: 10.1214/EJP.v16-868
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