The stochastic Klausmeier system and a stochastic SchauderTychonoff type theorem
Abstract
We investigate the existence of a pair of nonnegative solutions to the stochastic system of advectiondiffusion equations proposed by Klausmeier with Gaussian multiplicative noise. The proof of existence is based upon a stochastic version of the SchauderTychonoff fixed point theorem, which is also proved here.
 Publication:

arXiv eprints
 Pub Date:
 December 2019
 arXiv:
 arXiv:1912.00996
 Bibcode:
 2019arXiv191200996H
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematics  Functional Analysis;
 Mathematics  Probability;
 Primary 60H15;
 secondary 35K57;
 37N25;
 60G57;
 76S05;
 92C15
 EPrint:
 27 pages, 37 references