Stochastic transport equation with bounded and Dini continuous drift
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2022.03.038
Abstract: The results established by Flandoli, Gubinelli and Priola (Invent. Math. 180 (2010) 1– 53) for stochastic transport equation with bounded and Hölder continuous drift are generalized to bounded and Dini continuous drift. The uniqueness of… read more here.
Keywords: transport equation; drift; equation bounded; stochastic transport ... See more keywords
Schauder estimates for stochastic transport-diffusion equations with Lévy processes
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.066
Abstract: We consider a transport-diffusion equation with L\'{e}vy noises and H\"{o}lder continuous coefficients. By using the heat kernel estimates, we derive the Schauder estimates for the mild solutions. Moreover, when the transport term vanishes and $p=2$,… read more here.
Keywords: estimates stochastic; stochastic transport; schauder estimates; transport diffusion ... See more keywords