Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component∗

Abstract

We prove pathwise uniqueness for an abstract stochastic reaction-diffusion equation in Banach spaces. The drift contains a bounded Hölder term; in spite of this, due to the space-time white noise it is possible to prove pathwise uniqueness. The proof is based on a detailed analysis of the associated Kolmogorov equation. The model includes examples not… (More)

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