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math.PR2024
Regularisation by Gaussian rough path lifts of fractional Brownian motions
Konstantinos Dareiotis, Máté Gerencsér, Khoa Lê +1
The aim of the paper is to show the probabilistically strong well-posedness of rough differential equations with distributional drifts driven by the Gaussian rough path lift of fra…
math.PR2024
Regularisation by multiplicative noise for reaction-diffusion equations
Konstantinos Dareiotis, Teodor Holland, Khoa Lê
We consider the stochastic reaction-diffusion equation in dimensions driven by multiplicative space-time white noise, with a distributional drift belonging to a Besov-Hölder…