Existence of martingale solutions is established for stochastic evolution equations with pseudo-monotone polynomial drift of arbitrary order and continuous superlinear diffusion, including fractional reaction-diffusion equations.
Aldous, Stopping times and tightness, Annals of Probability , 6 (1978), 335-340
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Martingale Solutions of Fractional Stochastic Reaction-Diffusion Equations Driven by Superlinear Noise
Existence of martingale solutions is established for stochastic evolution equations with pseudo-monotone polynomial drift of arbitrary order and continuous superlinear diffusion, including fractional reaction-diffusion equations.