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arXiv · 2604.10366

Scattering for the Klein-Gordon-Schr\"odinger system in three dimensions with radial data

Vitor Borges·Tiklung Chan
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Abstract

We prove global well-posedness and scattering for the 3D Klein-Gordon-Schr\"odinger system for small radial data in the best known global well-posedness range $(u_0, n_0, n_1)\in L^2\times H^{ -\frac{1}{2} + \epsilon } \times H^{-\frac{3}{2} +\epsilon }$ for any $ \epsilon > 0 $. The proof uses a global-in-time iteration scheme in the adapted function spaces $U^2_\Phi$, radial Strichartz estimates, and bilinear restriction estimates.

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Vitor Borges, Tiklung Chan. 2026-04-11. Scattering for the Klein-Gordon-Schr\"odinger system in three dimensions with radial data. https://arxiv.org/abs/2604.10366

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