71 citations · 137 across the 24 of their papers we have counts for
4 papers · 1 filter
Counting the number of stationary solutions of Partial Differential Equations via infinite dimensional sampling
Martin Kolodziejczyk, Michela Ottobre, Gideon Simpson
This paper is concerned with the problem of counting solutions of stationary nonlinear Partial Differential Equations (PDEs) when the PDE is known to admit more than one solution.…
Well-Posedness and Equilibrium Behaviour of Overdamped Dynamic Density Functional Theory
B. D. Goddard, R. D. Mills-Williams, M. Ottobre +1
We establish the global well-posedness of overdamped dynamic density functional theory (DDFT): a nonlinear, nonlocal integro-partial differential equation used in statistical mecha…
Pointwise Gradient Bounds for Degenerate Semigroups (of UFG type)
Dan Crisan, Michela Ottobre
In this paper we consider diffusion semigroups generated by second order differential operators of degenerate type. The operators that we consider do not, in general, satisfy the H…
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators
Michela Ottobre, Grigorios Pavliotis, Karel Pravda-Starov
We study degenerate hypoelliptic Ornstein-Uhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on gener…