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BEGIN:VEVENT
UID:6bc26b4480a59726e4bb082ece63643c
CATEGORIES:Nonlinear Analysis
CREATED:20210125T093919
SUMMARY:Eikonal vs. Brownian: Regularity for the solution of an equation with gradient constraint
LOCATION:Zoom
DESCRIPTION:<p><strong>Abstract:&nbsp;</strong>Two controllers are in charge of steerin
 g a spaceship in some domain Omega. The first controller wants to spend as 
 much time as possible exploring Omega while the second wants to get out of 
 it as quickly as possible. The first controller determines minute by minute
  whether the ship is moving by a Brownian motion or with constant speed, in
  which case it is the second controller who chooses the direction. Under th
 ese instructions, determining the optimal strategies for each player leads 
 us to solve the equation min (-Delta u, |Du|) = 1 which has several interes
 ting characteristics. Among them is the presence of a free boundary which s
 eparates the regions where a Poisson or an Eikonal equation is satisfied. I
 n a recent collaboration with Edgard Pimentel (PUC-Rio) we showed that the 
 solutions are Lipschitz continuous and that |Du| is continuous, even though
  the gradient is discontinuous in numerous examples. This problem is a simp
 lification of interesting models in financial mathematics related with the 
 optimal strategy for the payment of dividends from multiple insurances.</p>
CONTACT:Hector Chang-Lara, CIMAT (Centro de Investigación en Matemáticas)
X-EXTRAINFO:https://rutgers.zoom.us/j/94175715705?pwd=NEh2ak9nVzlmczZ6a1RMY0VBUFlEQT09#
 succe\nMeeting ID: 941 7571 5705   Passcode: 849396\n
DTSTAMP:20260926T100358
DTSTART;TZID=America/New_York:20210210T093000
DTEND;TZID=America/New_York:20210210T103000
SEQUENCE:0
TRANSP:OPAQUE
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