Metastability and time scales for parabolic equations with drift 2: the general time scale

Claudio Landim, Jungkyoung Lee, Insuk Seo

Consider the elliptic operator given by \[ \mathscr{L}_εf=b\cdot\nabla f+εΔf \] for some smooth vector field $b:{\mathbb{R}}^d\to {\mathbb{R}}^d$ and $\epsilon >0$, and the initial-valued probl…