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- W4313443096 abstract "In this paper, low regularity local well-posedness results for the Kadomtsev--Petviashvili--I equation posed in spatial dimension $d =3$ are proved. Periodic, non-periodic and mixed settings as well as generalized dispersion relations are considered. In the weak dispersion regime, these initial value problems show a quasilinear behavior so that bilinear and energy estimates on frequency dependent time scales are used in the analysis." @default.
- W4313443096 created "2023-01-06" @default.
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- W4313443096 date "2022-12-28" @default.
- W4313443096 modified "2023-10-18" @default.
- W4313443096 title "Low regularity well-posedness of KP-I equations: the three-dimensional case" @default.
- W4313443096 doi "https://doi.org/10.48550/arxiv.2212.14067" @default.
- W4313443096 hasPublicationYear "2022" @default.
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