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- W3164240760 abstract "We study fractal properties of the solution to the periodic Schrodinger equation with singular potentials and bounded variation initial data. The solution turns out to have fractal behavior at irrational times, whereas it resembles the initial data in regularity at rational times. This extends the results of Oskolkov cite{O} and Rodnianski cite{R2} on the free Schrodinger equation to general cases having potentials. For the purpose, we employ the Bourgain space and obtain smoothing estimates for the Duhamel part involving singular potentials." @default.
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- W3164240760 date "2021-05-26" @default.
- W3164240760 modified "2023-09-27" @default.
- W3164240760 title "Talbot effect for the Schrodinger equation." @default.
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