Asymptotic properties of the solutions to stochastic KPP equations

Authors
Oksendal, B Vage, G Zhao, HZ
Citation
B. Oksendal et al., Asymptotic properties of the solutions to stochastic KPP equations, P RS EDIN A, 130, 2000, pp. 1363-1381
Citations number
20
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
130
Year of publication
2000
Part
6
Pages
1363 - 1381
Database
ISI
SICI code
0308-2105(2000)130:<1363:APOTST>2.0.ZU;2-D
Abstract
A reduction method is used to prove the existence and uniqueness of strong solutions to stochastic Kolmogorov-Petrovskii-Piskunov (KPP) equations, whe re the initial condition may be anticipating. The asymptotic behaviour of t he solution for large time and space and the random travelling waves are th en studied under two different basic assumptions.