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SUMMARY:A scattering theory for the Maxwell-Klein-Gordon equations - Shiwu
  Yang (Peking University)
DTSTART:20230501T130000Z
DTEND:20230501T140000Z
UID:TALK200134@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:It has been shown that general large solutions to the Cauchy p
 roblem for the Maxwell-Klein-Gordon system (MKG) in the Minkowski space de
 cay like linear solutions. One hence can define the associated radiation f
 ield on the future null infinity. In this talk\, we show the existence of 
 a global solution to the MKG system which scatters to any given sufficient
 ly localized radiation field with arbitrarily large size and total charge.
  The result follows by studying the characteristic initial value problem t
 o the MKG system with general large data by using gauge invariant vector f
 ield method. This is based on joint work with W. Dai\, H. Mei and D. Wei.
LOCATION:MR13
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