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Stochastic reaction-diffusion systems with Hölder continuous multiplicative noise (1209.4821v1)
Published 21 Sep 2012 in math.PR
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 H\"older continuous multiplicative noise. Under additional assumptions on the coefficients, we also prove positivity of the solutions.
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