A priori bounds for rough differential equations with a non-linear damping term

Autor: Timothée Bonnefoi, Ajay Chandra, Augustin Moinat, Hendrik Weber

Publikováno v: Bonnefoi, T, Chandra, A, Moinat, A & Weber, H 2022, ' A priori bounds for rough differential equations with a non-linear damping term ', Journal of Differential Equations, vol. 318, no. 2, pp. 58-93 . https://doi.org/10.1016/j.jde.2022.02.006

We consider a rough differential equation with a non-linear damping drift term: \begin{align*} dY(t) = - |Y|^{m-1} Y(t) dt + \sigma(Y(t)) dX(t), \end{align*} where $X$ is a branched rough path of arbitrary regularity $\alpha >0$, $m>1$ and where $\si

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https://doi.org/10.1016/j.jde.2022.02.006