Abstract
In this paper, we introduce a new set of vector fields for the relativistic transport equation, which is applicable for general Vlasov-wave type coupled systems. By combining the strength of Klainerman vector field method and Fourier method, we prove global regularity and scattering for the 3D massive relativistic Vlasov–Nordström system for small initial data without any compact support assumption, which is widely used in the literature for the study of Vlasov equation.
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