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BEGIN:VEVENT
UID:0233e2ed227ea7c2cf71e3a13edf48cf
CATEGORIES:Nonlinear Analysis
CREATED:20220914T094236
SUMMARY:Quantitative boundary unique continuation I
LOCATION:705 Hill Center
DESCRIPTION:Abstract: Unique continuation property is a fundamental property of harmoni
 c functions, as well as solutions to a large class of elliptic and paraboli
 c PDEs. It says that if a harmonic function vanishes at a point to infinite
  order, it must vanish everywhere (in the connected set containing that poi
 nt). In the same spirit, we are interested in quantitative unique continuat
 ion results, which are to use the local information about the growth rate o
 f a harmonic function, to deduce its global properties. In this talk, I wil
 l focus on recent progress about quantitative unique continuation at the bo
 undary. In particular, I will talk about X. Tolsa's work on the Bers proble
 m and my joint work with C. Kenig estimating the size of the singular set o
 f a harmonic function at the boundary.\nSeminar website:  (https://sites.ma
 th.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html)https://sites.math.rutge
 rs.edu/~yyli/NonlinearAnalysisSeminar.html (https://sites.math.rutgers.edu/
 ~yyli/NonlinearAnalysisSeminar.html)\n
X-ALT-DESC;FMTTYPE=text/html:<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:20260827T094944
DTSTART;TZID=America/New_York:20220920T134000
DTEND;TZID=America/New_York:20220920T144000
SEQUENCE:0
TRANSP:OPAQUE
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