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UID:20250708T025723EDT-1511wZU8rD@132.216.98.100
DTSTAMP:20250708T065723Z
DESCRIPTION:Title: Geometric Methods in Obstacle-Type Free Boundary Problem
 s I\n\nAbstract: Obstacle-type free boundary problems naturally appear as 
 mathematical models in science and engineering with some particular motiva
 tions arising from contact problems in elasticity\, options pricing in fin
 ancial mathematics\, and phenomenological models in superconductor physics
 . The first talk will focus on geometric methods that have been used to st
 udy regularity estimates in Obstacle-Type Free Boundary Problems. The regu
 larity theory for obstacle-type problems (and other type of free boundary 
 problems as well) was much inspired by the regularity theory for minimal s
 urfaces. We will discuss the basic existence\, uniqueness and regularity q
 uestions in the classical obstacle problem. We will point out generalizati
 ons and current problems of interest in this field of research. In the sec
 ond talk we will focus on an obstacle-type problem arising in stochastic i
 mpulse control theory that appeared first as a model for cash management a
 nd portfolio optimization under transaction costs. Here the underlying the
 ory for the obstacle problem has to be suitably modified to consider obsta
 cle problems with an implicit and nonlocal obstacle. Regularity estimates 
 will be presented and natural directions for future research discussed.bur
 n\n
DTSTART:20161005T173000Z
DTEND:20161005T183000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Rohit Jain (ºÃÉ«TV)
URL:/mathstat/channels/event/rohit-jain-mcgill-univers
 ity-263164
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