Asymptotics for Scaled Kramers--Smoluchowski Equations
Lawrence Craig Evans, Peyam Tabrizian · SIAM Journal on Mathematical Analysis · 2016
We offer fairly simple and direct proofs of the asymptotics for the scaled Kramers--Smoluchowski equation in both one and higher dimensions. For the latter, we invoke the sharp asymptotic capacity asymptotics of Bovier et al. [J. Eur. Math. Soc. JEMS, 6 (2004), pp. 399--424].