4 papers
The stochastic Cahn-Hilliard equation in critical spaces
Simon Bau, Gideon Chiusole, Sarah Geiss +2
We study stochastic Cahn-Hilliard equations in bounded smooth domains with a double-well potential, transport-type noise, and natural Neumann boundary conditions in dimensions $d\l…
Normal Forms for Rough Differential Equations
Gideon Chiusole, Christian Kuehn, Maximilian Semenowicz
We address the existence of normal forms for rough ordinary differential equations. We assume suitable smoothness and the hyperbolicity of an equilibrium point. In this context, we…
Existence, scaling, and spectral gap for traveling fronts in the 2D renormalized Allen--Cahn equation
Gideon Chiusole, Christian Kuehn
We study the deterministic skeleton of the renormalized stochastic Allen--Cahn equation in spatial dimension . For all sufficiently small regularization parameters , we co…
Towards Abstract Wiener Model Spaces
Gideon Chiusole, Peter K. Friz
Wiener spaces are in many ways the decisive setting for fundamental results on Gaussian measures: large deviations (Schilder), quasi-invariance (Cameron--Martin), differential calc…