A scattering theory for the Maxwell-Klein-Gordon equations

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• Shiwu Yang (Peking University)
• Monday 01 May 2023, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Dr Greg Taujanskas.

It has been shown that general large solutions to the Cauchy problem for the Maxwell-Klein-Gordon system (MKG) in the Minkowski space decay like linear solutions. One hence can define the associated radiation field 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 sufficiently localized radiation field with arbitrarily large size and total charge. The result follows by studying the characteristic initial value problem to the MKG system with general large data by using gauge invariant vector field method. This is based on joint work with W. Dai, H. Mei and D. Wei.

This talk is part of the Partial Differential Equations seminar series.

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