Local well-posedness of a system describing laser-plasma interactions

Herr S, Kato I, Kinoshita S, Spitz M (Accepted)
Vietnam Journal of Mathematics.

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Autor*in
Herr, SebastianUniBi ; Kato, Isao; Kinoshita, Shinya; Spitz, MartinUniBi
Abstract / Bemerkung
A degenerate Zakharov system arises as a model for the description of laser-plasma interactions. It is a coupled system of a Schr\"odinger and a wave equation with a non-dispersive direction. In this paper, a new local well-posedness result for rough initial data is established. The proof is based on an efficient use of local smoothing and maximal function norms.
Erscheinungsjahr
2022
Zeitschriftentitel
Vietnam Journal of Mathematics
Page URI
https://pub.uni-bielefeld.de/record/2954456

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Herr S, Kato I, Kinoshita S, Spitz M. Local well-posedness of a system describing laser-plasma interactions. Vietnam Journal of Mathematics. Accepted.
Herr, S., Kato, I., Kinoshita, S., & Spitz, M. (Accepted). Local well-posedness of a system describing laser-plasma interactions. Vietnam Journal of Mathematics
Herr, S., Kato, I., Kinoshita, S., and Spitz, M. (Accepted). Local well-posedness of a system describing laser-plasma interactions. Vietnam Journal of Mathematics.
Herr, S., et al., Accepted. Local well-posedness of a system describing laser-plasma interactions. Vietnam Journal of Mathematics.
S. Herr, et al., “Local well-posedness of a system describing laser-plasma interactions”, Vietnam Journal of Mathematics, Accepted.
Herr, S., Kato, I., Kinoshita, S., Spitz, M.: Local well-posedness of a system describing laser-plasma interactions. Vietnam Journal of Mathematics. (Accepted).
Herr, Sebastian, Kato, Isao, Kinoshita, Shinya, and Spitz, Martin. “Local well-posedness of a system describing laser-plasma interactions”. Vietnam Journal of Mathematics (Accepted).

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arXiv: 2105.00679

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