Almost sure well-posedness for the cubic nonlinear Schr\"{o}dinger equation in the super-critical regime on $\TTT^d$, $d\geq 3$

Haitian Yue

arxiv: 1808.00657 · v1 · pith:Q4JPR2USnew · submitted 2018-08-02 · 🧮 math.AP · math.PR

Almost sure well-posedness for the cubic nonlinear Schr\"{o}dinger equation in the super-critical regime on TTT^d, dgeq 3

Haitian Yue This is my paper

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keywords almostcubicequationnonlinearregimeschrspacessuper-critical

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In this paper we prove almost sure local well-posedness in both atomic spaces $X^s$ and Fourier restriction spaces $X^{s, b}$ for the cubic nonlinear Schr\"odinger equation on $\TTT^d$ ($d\geq 3$) in the super-critical regime.

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Almost sure well-posedness for the cubic nonlinear Schr\"{o}dinger equation in the super-critical regime on TTT^d, dgeq 3

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