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BEGIN:VEVENT
UID:0233e2ed227ea7c2cf71e3a13edf48cf
CATEGORIES:Nonlinear Analysis
CREATED:20220914T094236
SUMMARY:Quantitative boundary unique continuation I
LOCATION:705 Hill Center
DESCRIPTION:<p><strong>Abstract:&nbsp;</strong>Unique continuation property is a fundam
 ental property of harmonic functions, as well as solutions to a large class
  of elliptic and parabolic PDEs. It says that if a harmonic function vanish
 es at a point to infinite order, it must vanish everywhere (in the connecte
 d set containing that point). In the same spirit, we are interested in quan
 titative unique continuation results, which are to use the local informatio
 n about the growth rate of a harmonic function, to deduce its global proper
 ties. In this talk, I will focus on recent progress about quantitative uniq
 ue continuation at the boundary. In particular, I will talk about X. Tolsa'
 s work on the Bers problem and my joint work with C. Kenig estimating the s
 ize of the singular set of a harmonic function at the boundary.</p><p>Semin
 ar website: <a href="https://sites.math.rutgers.edu/~yyli/NonlinearAnalysis
 Seminar.html"></a><a href="https://sites.math.rutgers.edu/~yyli/NonlinearAn
 alysisSeminar.html">https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisS
 eminar.html</a></p>
CONTACT:Zihui Zhao, University of Chicago
DTSTAMP:20260830T103804
DTSTART;TZID=America/New_York:20220920T134000
DTEND;TZID=America/New_York:20220920T144000
SEQUENCE:0
TRANSP:OPAQUE
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