Mathematics/Psychology : 401
Date & Time
April 7, 2014, 11:00 am – 12:00 pm
Dr. Sandra Cerrai from the University of Maryland, College Park
The large deviation principle for SPDEs in the Smoluchowskii-Kramers approximation
We study the limiting behavior of the large deviation action functional and of the quasi-potential for a stochastic semi-linear wave equation in presence of a small mass. We show that the small noise asymptotic (large deviation) is consistent with the small mass asymptotic (Smoluchowskii-Kramers approximation).