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BEGIN:VEVENT
UID:10a3d525fd33e461a9b227d856365125
CATEGORIES:Nonlinear Analysis
CREATED:20211117T113231
SUMMARY:Sobolev spaces revisited
LOCATION:Zoom
DESCRIPTION:Abstract: In this talk, we will describe some new ways of characterising So
 bolev and BV functions, using sizes of superlevel sets of suitable differen
 ce quotients. They provide remedy in certain cases where some critical Gagl
 iardo-Nirenberg interpolation inequalities fail, and lead us to investigate
  real interpolations of certain fractional Besov spaces. Some connections w
 ill be drawn to earlier work by Bourgain, Brezis and Mironescu, and an imag
 e processing application will be given. Joint work with Haim Brezis, Jean V
 an Schaftingen, Qingsong Gu, Andreas Seeger, Brian Street and Oscar Domingu
 ez.\n
X-ALT-DESC;FMTTYPE=text/html:<p><strong>Abstract:&nbsp;</strong>In this talk, we will describe some new 
 ways of characterising Sobolev and BV functions, using sizes of superlevel 
 sets of suitable difference quotients. They provide remedy in certain cases
  where some critical Gagliardo-Nirenberg interpolation inequalities fail, a
 nd lead us to investigate real interpolations of certain fractional Besov s
 paces. Some connections will be drawn to earlier work by Bourgain, Brezis a
 nd Mironescu, and an image processing application will be given. Joint work
  with Haim Brezis, Jean Van Schaftingen, Qingsong Gu, Andreas Seeger, Brian
  Street and Oscar Dominguez.</p>
CONTACT:Po Lam Yung, Australian National University
X-EXTRAINFO:Zoom link:\nhttps://rutgers.zoom.us/j/96430905091?pwd=Tkp4N0FlRnk3ZXZLWTl6L
 zRHdkNZdz09\nMeeting ID: 964 3090 5091   Passcode: 491508\n
DTSTAMP:20260829T200123
DTSTART;TZID=America/New_York:20211201T083000
DTEND;TZID=America/New_York:20211201T093000
SEQUENCE:0
TRANSP:OPAQUE
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