Stochastic models for fully coupled systems of nonlinear parabolic equations
Probability
2017-05-04 v1
Abstract
We construct a probabilistic representation of a system of fully coupled parabolic equations arising as a model describing spatial segregation of interacting population species. We derive a closed system of stochastic equations such that its solution allows to obtain a probabilistic representation of a weak solution of the Cauchy problem for the PDE system. The corresponded stochastic system is presented in the form of a system of stochastic equations describing nonlinear Markov processes and their multiplicative functionals.
Keywords
Cite
@article{arxiv.1705.01119,
title = {Stochastic models for fully coupled systems of nonlinear parabolic equations},
author = {Yana Belopolskaya},
journal= {arXiv preprint arXiv:1705.01119},
year = {2017}
}