Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589833 | Journal of Functional Analysis | 2015 | 47 Pages |
Abstract
We rigorously derive non-equilibrium space–time fluctuation for the particle density of a system of reflected diffusions in bounded Lipschitz domains in RdRd. The particles are independent and are killed by a time-dependent potential which is asymptotically proportional to the boundary local time. We generalize the functional analytic framework introduced by Kotelenez [20] and [21] to deal with time-dependent perturbations. Our proof relies on Dirichlet form method rather than the machineries derived from Kotelenez's sub-martingale inequality. Our result holds for any symmetric reflected diffusion, for any bounded Lipschitz domain and for any dimension d≥1d≥1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zhen-Qing Chen, Wai-Tong (Louis) Fan,