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A rigidity property for a type of wave-Klein-Gordon system

Published 8 May 2024 in math.AP | (2405.04730v1)

Abstract: In this paper we investigate the rigidity property of a wave component coupled in a wave-Klein-Gordon system. We prove that when the radiation field of the wave component vanishes at the null infinity, the initial data of this component also vanish, therefor there is no wave in the whole spacetime

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