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Stochastic order methods applied to stochastic travelling waves
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Tribe, Roger and Woodward, Nicholas. (2011) Stochastic order methods applied to stochastic travelling waves. Electronic Journal of Probability, Volume 16 . pp. 436469. ISSN 10836489
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Official URL: http://dx.doi.org/10.1214/EJP.v16868
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.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Divisions:  Faculty of Science > Mathematics  
Library of Congress Subject Headings (LCSH):  Waves, Stochastic orders, Stochastic partial differential equations  
Journal or Publication Title:  Electronic Journal of Probability  
Publisher:  University of Washington. Dept. of Mathematics  
ISSN:  10836489  
Official Date:  9 March 2011  
Dates: 


Volume:  Volume 16  
Page Range:  pp. 436469  
Identification Number:  10.1214/EJP.v16868  
Status:  Peer Reviewed  
Publication Status:  Published  
Access rights to Published version:  Restricted or Subscription Access  
References:  [1] Bramson, Maury. Convergence of solutions of the Kolmogorov equation to travelling waves. [3] Kunita, Hiroshi. Stochastic flows and stochastic differential equations. Cambridge Studies in 

URI:  http://wrap.warwick.ac.uk/id/eprint/41456 
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