Metastability and time scales for parabolic equations with drift 1: the first time scale

Claudio Landim, Jungkyoung Lee, Insuk Seo

Consider the elliptic operator given by $${\mathcal{L}}_{\epsilon }f=b\cdot \nabla f+\epsilon \Delta f$$ for some smooth vector field $b:{\mathbb{R}}^d\to {\mathbb{R}}^d$ and a small parameter $ε>0…