The Zakharov system in dimension $d >= 4$

Candy T, Herr S, Nakanishi K (2023)
Journal of the European Mathematical Society 25(8): 3177-3228.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Candy, Timothy; Herr, SebastianUniBi ; Nakanishi, Kenji
Abstract / Bemerkung
The sharp range of Sobolev spaces is determined in which the Cauchy problem for the classical Zakharov system is well-posed, which includes existence of solutions, uniqueness, persistence of initial regularity, and real-analytic dependence on the initial data. In addition, under a condition on the data for the Schrödinger equation at the lowest admissible regularity, global well-posedness and scattering is proved. The results cover energy-critical and energy-supercritical dimensions $d \geqslant 4$.
Erscheinungsjahr
2023
Zeitschriftentitel
Journal of the European Mathematical Society
Band
25
Ausgabe
8
Seite(n)
3177-3228
Page URI
https://pub.uni-bielefeld.de/record/2939554

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Candy T, Herr S, Nakanishi K. The Zakharov system in dimension $d >= 4$. Journal of the European Mathematical Society. 2023;25(8):3177-3228.
Candy, T., Herr, S., & Nakanishi, K. (2023). The Zakharov system in dimension $d >= 4$. Journal of the European Mathematical Society, 25(8), 3177-3228. https://doi.org/10.4171/JEMS/1212
Candy, Timothy, Herr, Sebastian, and Nakanishi, Kenji. 2023. “The Zakharov system in dimension $d >= 4$”. Journal of the European Mathematical Society 25 (8): 3177-3228.
Candy, T., Herr, S., and Nakanishi, K. (2023). The Zakharov system in dimension $d >= 4$. Journal of the European Mathematical Society 25, 3177-3228.
Candy, T., Herr, S., & Nakanishi, K., 2023. The Zakharov system in dimension $d >= 4$. Journal of the European Mathematical Society, 25(8), p 3177-3228.
T. Candy, S. Herr, and K. Nakanishi, “The Zakharov system in dimension $d >= 4$”, Journal of the European Mathematical Society, vol. 25, 2023, pp. 3177-3228.
Candy, T., Herr, S., Nakanishi, K.: The Zakharov system in dimension $d >= 4$. Journal of the European Mathematical Society. 25, 3177-3228 (2023).
Candy, Timothy, Herr, Sebastian, and Nakanishi, Kenji. “The Zakharov system in dimension $d >= 4$”. Journal of the European Mathematical Society 25.8 (2023): 3177-3228.
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arXiv: 1912.05820

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