Asymptotic properties of the solutions to stochastic KPP equations

A reduction method is used to prove the existence and uniqueness of strong solutions to stochastic Kolmogorov–Petrovskii–Piskunov (KPP) equations, where the initial condition may be anticipating. The asymptotic behaviour of the solution for large time and space and the random travelling waves are th...

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Bibliographic Details
Published in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2000-12, Vol.130 (6), p.1363-1381
Main Authors: Øksendal, B., Våge, G., Zhao, H. Z.
Format: Article
Language:English
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Summary:A reduction method is used to prove the existence and uniqueness of strong solutions to stochastic Kolmogorov–Petrovskii–Piskunov (KPP) equations, where the initial condition may be anticipating. The asymptotic behaviour of the solution for large time and space and the random travelling waves are then studied under two different basic assumptions.
ISSN:0308-2105
1473-7124
DOI:10.1017/S030821050000072X