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UID:15d052f8cc2700bef0e96124d957d106
CATEGORIES:Learning Seminar on PDE and Applications
CREATED:20220914T093509
SUMMARY:Quantitative boundary unique continuation II
LOCATION:Hill Center Room 705
DESCRIPTION:<p><strong>Abstract:&nbsp;</strong>In the first part, I have talked about r
 ecent progress in quantitative boundary unique continuation, and in particu
 lar, the work of X. Tolsa and my joint work with C. Kenig estimating the si
 ze of the singular set for harmonic functions near the boundary. In the sec
 ond part, I will discuss some key ideas in their proofs. Both proofs rely o
 n the monotonicity of Almgren's frequency function (which is a quantifier o
 f the growth rate of a harmonic function), to different extents. However, t
 he former proof is a harmonic analysis approach inspired by the work of Log
 unov on Yau's conjecture for Laplace eigenfunctions, and the latter uses to
 ols from geometric measure theory inspired by the work of Naber-Valtorta on
  geometric variational problems.</p><p>Seminars webpage:&nbsp;<a href="http
 s://sites.math.rutgers.edu/~yyli/Learningseminar.html">https://sites.math.r
 utgers.edu/~yyli/Learningseminar.html</a></p>
CONTACT:Zihui Zhao, University of Chicago
DTSTAMP:20260827T141904
DTSTART;TZID=America/New_York:20220921T093000
DTEND;TZID=America/New_York:20220921T113000
SEQUENCE:0
TRANSP:OPAQUE
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