The Boson star equation with initial data of low regularity

Herr S, Lenzmann E (2014)
Nonlinear Analysis. Theory Methods & Applications 97: 125-137.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
The Cauchy problem for the L-2-critical boson star equation with initial data of low regularity in spatial dimension d = 3 is studied. Local well-posedness in H-s for s > 1/4 is proved. Moreover, for radial initial data, local well-posedness is established in H-s for s > 0. Both results are shown to be almost optimal by providing complementary ill-posedness results. (C) 2013 Elsevier Ltd. All rights reserved.
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Zeitschriftentitel
Nonlinear Analysis. Theory Methods & Applications
Band
97
Seite(n)
125-137
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Herr S, Lenzmann E. The Boson star equation with initial data of low regularity. Nonlinear Analysis. Theory Methods & Applications. 2014;97:125-137.
Herr, S., & Lenzmann, E. (2014). The Boson star equation with initial data of low regularity. Nonlinear Analysis. Theory Methods & Applications, 97, 125-137. doi:10.1016/j.na.2013.11.023
Herr, S., and Lenzmann, E. (2014). The Boson star equation with initial data of low regularity. Nonlinear Analysis. Theory Methods & Applications 97, 125-137.
Herr, S., & Lenzmann, E., 2014. The Boson star equation with initial data of low regularity. Nonlinear Analysis. Theory Methods & Applications, 97, p 125-137.
S. Herr and E. Lenzmann, “The Boson star equation with initial data of low regularity”, Nonlinear Analysis. Theory Methods & Applications, vol. 97, 2014, pp. 125-137.
Herr, S., Lenzmann, E.: The Boson star equation with initial data of low regularity. Nonlinear Analysis. Theory Methods & Applications. 97, 125-137 (2014).
Herr, Sebastian, and Lenzmann, Enno. “The Boson star equation with initial data of low regularity”. Nonlinear Analysis. Theory Methods & Applications 97 (2014): 125-137.

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arXiv: 1305.6392

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