Conditional large data scattering results for the Dirac-Klein-Gordon system
classification
🧮 math.AP
keywords
conditionalcontrollingdirac-klein-gordongloballargenormresultsscattering
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We obtain conditional results on the global existence and scattering for large solutions of the Dirac-Klein-Gordon system in critical spaces in dimension $1+3$. In particular, for bounded solutions we identify a space-time Lebesgue norm controlling the global behaviour. The proof relies on refined nonlinear estimates involving the controlling norm.
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