6 citations · 26 across the 18 of their papers we have counts for
6 papers · 1 filter
Stochastic wave equation with Hölder noise coefficient: well-posedness and small mass limit
Yi Han
We construct unique martingale solutions to the damped stochastic wave equation $$ μ\frac{\partial^2u}{\partial t^2}(t,x)=Δu(t,x)-\frac{\partial u}{\partial t}(t,x)+b(t,x,u(t,x))+σ…
A support theorem for parabolic stochastic PDEs with nondegenerate Hölder diffusion coefficients
Yi Han
In this paper we work with parabolic SPDEs of the form with Neumann boundary conditions, where …
Exponential ergodicity of stochastic heat equations with Hölder coefficients
Yi Han
We investigate the stochastic heat equation driven by space-time white noise defined on an abstract Hilbert space, assuming that the drift and diffusion coefficients are both merel…
Smoothness of the density for McKean-Vlasov SDEs with measurable kernel
Yi Han
Consider the McKean-Vlasov SDE where is the -dimensional Brownian motion and $b:\mathbb…
Entropic propagation of chaos for mean field diffusion with interactions via hierarchy, linear growth and fractional noise
Yi Han
New quantitative propagation of chaos results for mean field diffusion are proved via local and global entropy estimates. In the first result we work on the torus and consider sing…
Solving McKean-Vlasov SDEs via relative entropy
Yi Han
In this paper we explore the merit of relative entropy in proving weak well-posedness of McKean-Vlasov SDEs and SPDEs, extending the technique introduced in Lacker arxiv:2105.02983…