REVIEW 2 cited by
Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
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.
Forward citations
Cited by 2 Pith papers
-
A spinor-adapted geometric approach for nonlinear Dirac systems and its application to a tensorial wave-Dirac system near Minkowski spacetime
Small-data solutions of a nonlinear tensorial wave-Dirac system on non-trapping asymptotically flat spacetimes are shown to exist globally with quantitative weighted-energy decay.
-
Global solutions to cubic Dirac and Dirac-Klein-Gordon systems on spacetimes close to the Minkowski space
Global existence and sharp pointwise decay are proven for cubic Dirac and Dirac-Klein-Gordon systems on space-times close to Minkowski space.
Discussion (0). Sign in to comment.