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- W1501770117 abstract "We introduce a randomization of a function on $$ mathbb{R}^{d} $$ that is naturally associated to the Wiener decomposition and, intrinsically, to the modulation spaces. Such randomized functions enjoy better integrability, thus allowing us to improve the Strichartz estimates for the Schrödinger equation. As an example, we also show that the energy-critical cubic nonlinear Schrödinger equation on $$ mathbb{R}^{4} $$ is almost surely locally well posed with respect to randomized initial data below the energy space." @default.
- W1501770117 created "2016-06-24" @default.
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- W1501770117 date "2015-01-01" @default.
- W1501770117 modified "2023-09-25" @default.
- W1501770117 title "Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS" @default.
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- W1501770117 doi "https://doi.org/10.1007/978-3-319-20188-7_1" @default.
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