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SUMMARY:Adrian Nachman (University of Toronto)
DTSTART:20210826T160000Z
DTEND:20210826T170000Z
DTSTAMP:20260423T035741Z
UID:Inverse/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/54/"
 >A nonlinear Plancherel Theorem with applications to global well-posedness
  for the Defocusing Davey-Stewartson Equation and to the Calderón Inverse
  Problem in dimension 2</a>\nby Adrian Nachman (University of Toronto) as 
 part of International Zoom Inverse Problems Seminar\, UC Irvine\n\n\nAbstr
 act\nI’ll describe a well-studied nonlinear Fourier transform in two dim
 ensions for which a proof of the Plancherel theorem had been a challenging
  open problem. I’ll sketch out the main ideas of the solution of this pr
 oblem\, as well as the solution of two other problems that motivated it: g
 lobal well-posedness for the Defocusing DSII Equation in the mass critical
  case\, and global uniqueness for the Inverse Boundary Value Problem of Ca
 lderón for a class of unbounded conductivities. On the way\, there will a
 lso be new estimates for classical fractional integrals\, and a new result
  on L^2 boundedness of pseudodifferential operators with non-smooth symbol
 s. (This is joint work with Idan Regev and Daniel Tataru.)\n
LOCATION:https://researchseminars.org/talk/Inverse/54/
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