On the radius of spatial analyticity for the Klein-Gordon-Schrödinger system

نویسندگان

چکیده

In this paper, we study the persistence of spatial analyticity for solutions to Klein-Gordon-Schrödinger system, which describes a physical system nucleon field interacting with neutral meson field, analytic initial data. Unlike case single nonlinear dispersive equation, not much is known about systems as it harder show coupled equations simultaneously. The only results so far are rather recent ones Dirac-Klein-Gordon governs when described by Dirac spinor fields in relativistic fields. contrast, aim here that works non-relativistic regime. It shown radius at later times obeys an algebraic lower bound time goes infinity.

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2022

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2022.03.018