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SUMMARY:Stefan Steinerberger (University of Washington)
DTSTART:20210525T160000Z
DTEND:20210525T165000Z
DTSTAMP:20260423T005850Z
UID:anpdews/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/64/"
 >Mean-Value Inequalities for Harmonic Functions</a>\nby Stefan Steinerberg
 er (University of Washington) as part of HA-GMT-PDE Seminar\n\n\nAbstract\
 nThe mean-value theorem for harmonic functions says that we can bound the 
 integral of a harmonic function in a ball by the average value on the boun
 dary (and\, in fact\, there is equality).  What happens if we replace the 
 ball by a general convex or even non-convex set?  As it turns out\, this s
 imple question has connections to classical potential theory\, probability
  theory\, PDEs and even mechanics: one of the arising questions dates back
  to Saint Venant (1856).  There are some fascinating new isoperimetric pro
 blems: for example\, the worst case convex domain in the plane seems to lo
 ok a lot like the letter "D" but we cannot prove it. I will discuss some r
 ecent results and many open problems.\n
LOCATION:https://researchseminars.org/talk/anpdews/64/
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