| 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, we can show stability of (multi-) solitons. |
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