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math.PR2021
Amplitude equations for SPDEs driven by fractional additive noise with small Hurst parameter
Dirk Blömker, Alexandra Neamtu
We study stochastic partial differential equations (SPDEs) with potentially very rough fractional noise with Hurst parameter . Close to a change of stability measured wi…
math.PR2021
Global solutions for semilinear rough partial differential equations
Robert Hesse, Alexandra Neamtu
We construct global-in-time solutions for semilinear parabolic rough partial differential equations. We work on a scale of Banach spaces tailored to the controlled rough path appro…