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- W2215671126 abstract "We study the Cauchy problem for the KdV equation $partial_t u - 6 u partial_x u + partial_x^3 u = 0$ with almost periodic initial data $u(x,0)=V(x)$. We consider initial data $V$, for which the associated Schrodinger operator is absolutely continuous and has a spectrum that is not too thin in a sense we specify, and show the existence, uniqueness, and almost periodicity in time of solutions. This establishes a conjecture of Percy Deift for this class of initial data. The result is shown to apply to all small analytic quasiperiodic initial data with Diophantine frequency vector." @default.
- W2215671126 created "2016-06-24" @default.
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- W2215671126 date "2018-10-01" @default.
- W2215671126 modified "2023-10-03" @default.
- W2215671126 title "Almost periodicity in time of solutions of the KdV equation" @default.
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- W2215671126 doi "https://doi.org/10.1215/00127094-2018-0015" @default.
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