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UID:ebaf04a7ba272225f87457f6adc7770f
CATEGORIES:Learning Seminar on PDE and Applications
CREATED:20231010T224506
SUMMARY:Quantitative estimates for singular sets of elliptic equations (Part I)
LOCATION:Hill 425
DESCRIPTION:Abstract: This is the first of a series of talks outlining Naber-Valtorta's
  paper "Volume estimates on the critical sets of solutions to elliptic PDEs
 ". We will review orthogonal polynomial expansions of solutions to the Lapl
 ace and heat equations, and how these expansions help us study the elliptic
  and parabolic frequency functions. We will also discuss sharp almost-rigid
 ity and almost-splitting theorems for the frequency functions and use these
  to study the set of frequency-pinched points.\nhttps://sites.math.rutgers.
 edu/~yyli/Learningseminar.html (https://sites.math.rutgers.edu/~yyli/Learni
 ngseminar.html)\n
X-ALT-DESC;FMTTYPE=text/html:<p><strong style="color: #000000; font-family: Aptos, Aptos_EmbeddedFont, A
 ptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 16px; letter
 -spacing: normal; text-align: start; text-indent: 0px; text-transform: none
 ; white-space: normal; word-spacing: 0px; text-decoration: none;">Abstract:
 &nbsp;</strong>This is the first of a series of talks outlining Naber-Valto
 rta's paper "Volume estimates on the critical sets of solutions to elliptic
  PDEs". We will review orthogonal polynomial expansions of solutions to the
  Laplace and heat equations, and how these expansions help us study the ell
 iptic and parabolic frequency functions. We will also discuss sharp almost-
 rigidity and almost-splitting theorems for the frequency functions and use 
 these to study the set of frequency-pinched points.</p><p><a href="https://
 sites.math.rutgers.edu/~yyli/Learningseminar.html">https://sites.math.rutge
 rs.edu/~yyli/Learningseminar.html</a></p>
CONTACT:Maximilien Hallgren
DTSTAMP:20260922T090147
DTSTART;TZID=America/New_York:20231026T140000
DTEND;TZID=America/New_York:20231026T152000
SEQUENCE:0
TRANSP:OPAQUE
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