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

Candy, Timothy; Herr, Sebastian

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

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URL

https://www.cambridge.org/core/services/aop-cambridge-core/content/view/27B6FAB1[...]

DOI

https://doi.org/10.1017/fms.2018.8

Autor*in

Candy, Timothy^UniBi; Herr, Sebastian^UniBi

Einrichtung

SFB 1283 Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
Fakultät für Mathematik

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

Art.-Nr.

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, Timothy, and Herr, Sebastian. 2018. “Conditional large initial data scattering results for the Dirac-Klein-Gordon system”. Forum of Mathematics. Sigma 6: e9.

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.

Link(s) zu Volltext(en)

URL

https://www.cambridge.org/core/services/aop-cambridge-core/content/view/27B6FAB1DAFCFEF343A3593B965E16CC/S2050509418000087a.pdf/conditional_large_initial_data_scattering_results_for_the_dirackleingordon_system.pdf

Access Level

Open Access