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

Herr S, Kato I, Kinoshita S, Spitz M (Submitted) .

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Autor*in
Herr, SebastianUniBi ; Kato, Isao; Kinoshita, Shinya; Spitz, Martin
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
2021
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. Submitted.
Herr, S., Kato, I., Kinoshita, S., & Spitz, M. (Submitted). Local well-posedness of a system describing laser-plasma interactions
Herr, S., Kato, I., Kinoshita, S., and Spitz, M. (Submitted). Local well-posedness of a system describing laser-plasma interactions.
Herr, S., et al., Submitted. Local well-posedness of a system describing laser-plasma interactions.
S. Herr, et al., “Local well-posedness of a system describing laser-plasma interactions”, Submitted.
Herr, S., Kato, I., Kinoshita, S., Spitz, M.: Local well-posedness of a system describing laser-plasma interactions. (Submitted).
Herr, Sebastian, Kato, Isao, Kinoshita, Shinya, and Spitz, Martin. “Local well-posedness of a system describing laser-plasma interactions”. (Submitted).

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arXiv: 2105.00679

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