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UID:20251105T113607EST-83193PfEU9@132.216.98.100
DTSTAMP:20251105T163607Z
DESCRIPTION:TITLE:  A min-max representation of elliptic operators\, and ap
 plications\n	\n	ABSTRACT:  We call operators that enjoy the global compariso
 n property `elliptic'' operators.  This means that the operator preserves
 \n	ordering between any two functions in its domain\, whose graphs are orde
 red and that agree at a point-- i.e. the operator evaluated at\n	this locat
 ion will have the same ordering.  This is a generalization of the fact tha
 t we teach to calculus students that at the point of a\n	local maximum\, an
 y $C^2$ function must satisfy $f''(x_0)\leq 0$.  It turns out that not onl
 y does this property serve as a defining feature\n	for many nonlinear parti
 al differential and integro-differential equations\, but furthermore\, we 
 will present a recent result that shows\n	the global comparison property im
 plies such an operator must have a familiar form that is common to nonline
 ar elliptic equations.  Time\n	permitting\, we will elaborate on what this 
 characterization may mean for the interplay between integro-differential e
 quations and\n	(nonlinear) Dirichlet-to-Neumann mappings and free boundary 
 problems like the Hele-Shaw flow.\n
DTSTART:20180326T200000Z
DTEND:20180326T210000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Russell Schwab (Michigan State University)
URL:/mathstat/channels/event/russell-schwab-michigan-s
 tate-university-285981
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