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Global solutions to quasilinear wave-Klein-Gordon systems in two space dimensions (2312.03287v1)

Published 6 Dec 2023 in math.AP

Abstract: In this paper we prove global existence and global behavior of solutions to quasilinear wave-Klein-Gordon systems in $\mathbb{R}{1+2}$ with quadratic nonlinearities satisfying the null condition. We consider small, regular and compactly supported initial data, and prove global existence, pointwise decay estimates and linear scattering for the solutions.

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