Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations
Herr S, Hong S (2025) .
Preprint | Englisch
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Abstract / Bemerkung
The aim of this paper is to establish the $L^2_t$-endpoint Strichartz
estimate for (half) Klein-Gordon equations on a weakly asymptotically flat
space-time. As an application we prove small data global well-posedness and
scattering for massive cubic Dirac equations in the full subcritical range in
this setting.
Crucial ingredient is a parametrix contruction following the work of Metcalfe-Tataru and Xue and complements Strichartz estimates obtained by Zheng-Zhang. The proof of the global result for the cubic Dirac equation follows the strategy developed by Machihara-Nakanishi-Ozawa in the Euclidean setting.
Crucial ingredient is a parametrix contruction following the work of Metcalfe-Tataru and Xue and complements Strichartz estimates obtained by Zheng-Zhang. The proof of the global result for the cubic Dirac equation follows the strategy developed by Machihara-Nakanishi-Ozawa in the Euclidean setting.
Erscheinungsjahr
2025
Page URI
https://pub.uni-bielefeld.de/record/3000953
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Herr S, Hong S. Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations. 2025.
Herr, S., & Hong, S. (2025). Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations
Herr, Sebastian, and Hong, Seokchang. 2025. “Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations”.
Herr, S., and Hong, S. (2025). Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations.
Herr, S., & Hong, S., 2025. Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations.
S. Herr and S. Hong, “Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations”, 2025.
Herr, S., Hong, S.: Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations. (2025).
Herr, Sebastian, and Hong, Seokchang. “Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations”. (2025).
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