BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Leonid Koralov (Maryland)
DTSTART:20220204T173000Z
DTEND:20220204T183000Z
DTSTAMP:20260423T005701Z
UID:PatC/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/54/">Pe
 rturbations of Parabolic Equations and Diffusion Processes with Degenerati
 on: Boundary Problems and Metastability</a>\nby Leonid Koralov (Maryland) 
 as part of Probability and the City Seminar\n\n\nAbstract\nWe study diffus
 ion processes in a bounded domain with absorbing or reflecting boundary. T
 he generator of the process is assumed to contain two terms: the main term
  that degenerates on the boundary in a direction orthogonal to the boundar
 y and a small non-degenerate perturbation. Understanding the behavior of s
 uch processes allows us to study the stabilization of solutions to the cor
 responding parabolic equations with a small parameter. Metastability effec
 ts arise in this case: the asymptotics of solutions\, as the size of the p
 erturbation tends to zero\, depends on the time scale. Initial-boundary va
 lue problems with both the Dirichet and the Neumann boundary conditions wi
 ll be considered. The talk is based on joint work with M. Freidlin.\n
LOCATION:https://researchseminars.org/talk/PatC/54/
END:VEVENT
END:VCALENDAR