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• W3114379966 abstract "We consider the final-state problem for the Zakharov system in the energy space in three space dimensions. For $(u_+, v_+) in H^1 times L^2$ without any size restriction, symmetry assumption or additional angular regularity, we perform a physical-space randomization on $u_+$ and an angular randomization on $v_+$ yielding random final states $(u_+^omega, v_+^omega)$. We obtain that for almost every $omega$, there is a unique solution of the Zakharov system scattering to the final state $(u_+^omega, v_+^omega)$. The key ingredient in the proof is the use of time-weighted norms and generalized Strichartz estimates which are accessible due to the randomization." @default.
• W3114379966 created "2021-01-05" @default.
• W3114379966 creator A5031249033 @default.
• W3114379966 date "2020-12-24" @default.
• W3114379966 modified "2023-09-27" @default.
• W3114379966 title "Randomized final-state problem for the Zakharov system in dimension three" @default.
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• W3114379966 hasPublicationYear "2020" @default.
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