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arXiv:1912.00996 [math.AP]AbstractReferencesReviewsResources

The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem

Erika Hausenblas, Jonas M. Tölle

Published 2019-12-02Version 1

We investigate the existence of a pair of nonnegative solutions to the stochastic system of advection-diffusion equations proposed by Klausmeier with Gaussian multiplicative noise. The proof of existence is based upon a stochastic version of the Schauder-Tychonoff fixed point theorem, which is also proved here.

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