12 citations · 21 across the 2 of their papers we have counts for
3 papers
math.PR2020★ 12 cited
A priori bounds for rough differential equations with a non-linear damping term
Timothee Bonnefoi, Ajay Chandra, Augustin Moinat +1
We consider a rough differential equation with a non-linear damping drift term: \begin{align*} dY(t) = - |Y|^{m-1} Y(t) dt + σ(Y(t)) dX(t), \end{align*} where is a branched rou…
math.AP2019★ 9 cited
A priori bounds for the equation in the full sub-critical regime
Ajay Chandra, Augustin Moinat, Hendrik Weber
We derive a priori bounds for the equation in the full sub-critical regime using Hairer's theory of regularity structures. The equation is formally given by \begin{equation}…
math.AP2018
Local bounds for stochastic reaction diffusion equations
Augustin Moinat, Hendrik Weber
We prove a priori bounds for solutions of stochastic reaction diffusion equations with super-linear damping in the reaction term. These bounds provide a control on the supremum of…