Friday, May 17, 2019 - 14:15 in D5-153
Long-time asymptotics for the massive Thirring model
A talk in the Oberseminar Analysis series by
Aaron Saalmann from Köln
Abstract: |
Very recently, inverse scattering for the massive Thirring model was
developed in a rigorous setting. Thanks to that innovation, new proof
possibilities for long-time behavior open up. In this talk, we see how the
steepest descent method for oscillatory Riemann-Hilbert problems presented
by P. Deift and X. Zhou in 1993 can be applied in order to prove dispersion
for pure radiation solutions. This method improves earlier results on this
subject and is readily extended to prove the soliton conjecture for the
massive Thirring model and in particular stability of solitons. |
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