Low regularity well-posedness of KP-I equations: the three-dimensional case
Herr S, Sanwal A, Schippa R (2024)
Journal of Functional Analysis 286(4): 110292.
Zeitschriftenaufsatz
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Autor*in
Herr, SebastianUniBi 
;
Sanwal, Akansha;
Schippa, Robert
;
Sanwal, Akansha;
Schippa, RobertEinrichtung
Abstract / Bemerkung
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.
Erscheinungsjahr
2024
Zeitschriftentitel
Journal of Functional Analysis
Band
286
Ausgabe
4
Art.-Nr.
110292
Page URI
https://pub.uni-bielefeld.de/record/2967999
Zitieren
Herr S, Sanwal A, Schippa R. Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis. 2024;286(4): 110292.
Herr, S., Sanwal, A., & Schippa, R. (2024). Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis, 286(4), 110292. https://doi.org/10.1016/j.jfa.2023.110292
Herr, Sebastian, Sanwal, Akansha, and Schippa, Robert. 2024. “Low regularity well-posedness of KP-I equations: the three-dimensional case”. Journal of Functional Analysis 286 (4): 110292.
Herr, S., Sanwal, A., and Schippa, R. (2024). Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis 286:110292.
Herr, S., Sanwal, A., & Schippa, R., 2024. Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis, 286(4): 110292.
S. Herr, A. Sanwal, and R. Schippa, “Low regularity well-posedness of KP-I equations: the three-dimensional case”, Journal of Functional Analysis, vol. 286, 2024, : 110292.
Herr, S., Sanwal, A., Schippa, R.: Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis. 286, : 110292 (2024).
Herr, Sebastian, Sanwal, Akansha, and Schippa, Robert. “Low regularity well-posedness of KP-I equations: the three-dimensional case”. Journal of Functional Analysis 286.4 (2024): 110292.
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