Scattering for the Klein-Gordon-Schrödinger system in three dimensions with radial data
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918440858550272 |
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| author | Borges, Vitor Chan, Tiklung |
| author_facet | Borges, Vitor Chan, Tiklung |
| contents | We prove global well-posedness and scattering for the 3D Klein-Gordon-Schrödinger system for small radial data in the best known global well-posedness range $(u_0, n_0, n_1)\in L^2\times H^{ -\frac{1}{2} + ε} \times H^{-\frac{3}{2} +ε}$ for any $ ε> 0 $. The proof uses a global-in-time iteration scheme in the adapted function spaces $U^2_Φ$, radial Strichartz estimates, and bilinear restriction estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10366 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scattering for the Klein-Gordon-Schrödinger system in three dimensions with radial data Borges, Vitor Chan, Tiklung Analysis of PDEs Mathematical Physics Classical Analysis and ODEs 35Q40 (Primary) 35Q41, 35L70 (Secondary) We prove global well-posedness and scattering for the 3D Klein-Gordon-Schrödinger system for small radial data in the best known global well-posedness range $(u_0, n_0, n_1)\in L^2\times H^{ -\frac{1}{2} + ε} \times H^{-\frac{3}{2} +ε}$ for any $ ε> 0 $. The proof uses a global-in-time iteration scheme in the adapted function spaces $U^2_Φ$, radial Strichartz estimates, and bilinear restriction estimates. |
| title | Scattering for the Klein-Gordon-Schrödinger system in three dimensions with radial data |
| topic | Analysis of PDEs Mathematical Physics Classical Analysis and ODEs 35Q40 (Primary) 35Q41, 35L70 (Secondary) |
| url | https://arxiv.org/abs/2604.10366 |