Pathwise uniqueness for stochastic parabolic equations with Hölder continuous perturbation in the drift
We discuss the pathwise uniqueness for stochastic parabolic equations with a Hölder continuous perturbation in the drift. Under our assumptions, we are able to consider the stochastic heat equation up to dimension 3, the stochastic damped wave equation in dimension 1, and the stochastic Euler-Bernoulli damped beam equation up to dimension 3.
Area: CS4 - Kolmogorov equations and long time behaviour for SPDEs (Carlo Orrieri & Luca Scarpa)
Keywords: Kolmogorov equations, stochastic partial differential equations, Pathwise uniqueness
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