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- W1569553431 abstract "We study the Cauchy problem for the $1$-d periodic fractional Schrodinger equation with cubic nonlinearity. In particular we prove local well-posedness in Sobolev spaces, for solutions evolving from rough initial data. In addition we show the existence of global-in-time infinite energy solutions. Our tools include a new Strichartz estimate on the torus along with ideas that Bourgain developed in studying the periodic cubic NLS." @default.
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- W1569553431 date "2016-01-01" @default.
- W1569553431 modified "2023-09-26" @default.
- W1569553431 title "Existence and uniqueness theory for the fractional Schrödinger equation on the torus" @default.
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