BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Seonghyeon  Jeong (MSU)
DTSTART:20200911T185000Z
DTEND:20200911T195000Z
DTSTAMP:20260423T004139Z
UID:MPHA/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MPHA/12/">St
 rong MTW type condition to local Holder regularity in generated Jacobian e
 quations</a>\nby Seonghyeon  Jeong (MSU) as part of TAMU: Mathematical Phy
 sics and Harmonic Analysis Seminar\n\n\nAbstract\nn this talk\, we present
  a proof of local Holder regularity of solutions to generated Jacobian equ
 ations as a generalization of optimal transport case\, which is proved by 
 George Loeper. We compare structures of generated Jacobian equations with 
 optimal transport\, and point out differences with difficulties which the 
 differences can cause. For local Holder regularity theory\, we use (G3s) c
 ondition and solution in Alexandrov sense. (G3s) is a strict positiveness 
 type condition on MTW tensor associated to the generating function G\, and
  Alexandrov solution is a solution that satisfies pullback measure conditi
 on. (G3s) is used to show a quantitative version of (glp)\, which gives so
 me room for G-subdifferentials of solutions. Then the inequality for Holde
 r regularity is shown by comparing volumes of G-subdifferentials using the
  fact that our solutions is in Alexandrov sense.\n
LOCATION:https://researchseminars.org/talk/MPHA/12/
END:VEVENT
END:VCALENDAR