9 citations · 13 across the 2 of their papers we have counts for
6 papers
Phase transitions for
Ajay Chandra, Trishen S. Gunaratnam, Hendrik Weber
We establish a surface order large deviation estimate for the magnetisation of low temperature . As a byproduct, we obtain a decay of spectral gap for its Glauber dynamics g…
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}…
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…
Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise
Pavlos Tsatsoulis, Hendrik Weber
We prove an asymptotic coupling theorem for the -dimensional Allen--Cahn equation perturbed by a small space-time white noise. We show that with overwhelming probability two pro…
Parabolic equations with rough coefficients and singular forcing
Felix Otto, Jonas Sauer, Scott Smith +1
This article focuses on parabolic equations with rough diffusion coefficients which are ill-posed in the classical sense of distributions due to the presence of a singular forcing.…
Quasilinear SPDEs in divergence-form
Felix Otto, Hendrik Weber
We develop a solution theory in Hölder spaces for a quasilinear stochastic PDE driven by an additive noise. The key ingredients are two deterministic PDE Lemmas which establish a p…