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Oct 1, 2022 at 6:46 comment added Jakob Möller Thanks for the references. Indeed I know Stefanovs paper (a bit) but one has to go rather deep into Besov territory, right? I was just wondering if there is a „quick and easy“ way to get LWP for sufficiently smooth initial data.
Oct 1, 2022 at 2:56 comment added Terry Tao You may find some of the results and techniques in arxiv.org/pdf/math/0509314.pdf to be helpful for your problem. See also arxiv.org/pdf/1309.3291.pdf for how one can construct local solutions to Schrodinger equations with derivatives (but using local smoothing estimates in place of Strichartz estimates).
Sep 30, 2022 at 20:10 answer added Piero D'Ancona timeline score: 4
Sep 30, 2022 at 13:27 history asked Jakob Möller CC BY-SA 4.0