Conditional large initial data scattering results for the Dirac-Klein-Gordon system

Candy T, Herr S (2018)
Forum of Mathematics. Sigma 6: e9.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
Abstract / Bemerkung
We consider the global behaviour for large solutions of the Dirac-Klein-Gordon system in critical spaces in dimension 1 + 3. In particular, we show that bounded solutions exist globally in time and scatter, provided that a controlling space-time Lebesgue norm is finite. A crucial step is to prove nonlinear estimates that exploit the dichotomy between transversality and null structure, and furthermore involve the controlling norm.
Erscheinungsjahr
2018
Zeitschriftentitel
Forum of Mathematics. Sigma
Band
6
Art.-Nr.
e9
eISSN
2050-5094
Page URI
https://pub.uni-bielefeld.de/record/2930273

Zitieren

Candy T, Herr S. Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics. Sigma. 2018;6: e9.
Candy, T., & Herr, S. (2018). Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics. Sigma, 6, e9. doi:10.1017/fms.2018.8
Candy, T., and Herr, S. (2018). Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics. Sigma 6:e9.
Candy, T., & Herr, S., 2018. Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics. Sigma, 6: e9.
T. Candy and S. Herr, “Conditional large initial data scattering results for the Dirac-Klein-Gordon system”, Forum of Mathematics. Sigma, vol. 6, 2018, : e9.
Candy, T., Herr, S.: Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics. Sigma. 6, : e9 (2018).
Candy, Timothy, and Herr, Sebastian. “Conditional large initial data scattering results for the Dirac-Klein-Gordon system”. Forum of Mathematics. Sigma 6 (2018): e9.
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arXiv: 1709.09556

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