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math.PR2025
Stochastic transport equation with Lévy noise
Zdzisław Brzeźniak, Enrico Priola, Jianliang Zhai +1
We study the stochastic transport equation with globally -Hölder continuous and bounded vector field driven by a non-degenerate pure-jump Lévy noise of -stable type. Whereas…
math.PR2025
Singular SPDEs with the Cauchy-Riemann operator on a torus
Zdzisław Brzeźniak, Mikhail Neklyudov, Evelina Shamarova
We prove the existence of solution to the following -valued singular SPDE on the 2D torus : \begin{align} \label{CR} \partial_{\bar z} r = r \times \ove…