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arXiv · 1209.4821

Stochastic reaction-diffusion systems with Hölder continuous multiplicative noise

Markus C. Kunze
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Abstract

We prove pathwise uniqueness and strong existence of solutions for stochastic reaction-diffusion systems with locally Lipschitz continuous reaction term of polynomial growth and Hölder continuous multiplicative noise. Under additional assumptions on the coefficients, we also prove positivity of the solutions.

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Markus C. Kunze. 2012-09-21. Stochastic reaction-diffusion systems with Hölder continuous multiplicative noise. https://arxiv.org/abs/1209.4821

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