Global well-posedness and scattering for the quantum Zakharov system in 𝐿²-Reference-Cited by-同舟云学术

Global well-posedness and scattering for the quantum Zakharov system in 𝐿²

Published:2019-06-25 Issue:3 Volume:6 Page:21-32
ISSN:2330-1511
Container-title:Proceedings of the American Mathematical Society, Series B
language:en
Short-container-title:Proc. Amer. Math. Soc. Ser. B

Author:

Fang Yung-Fu,Nakanishi Kenji

Abstract

We study the Cauchy problem for the quantum Zakharov system in the class of square-integrable functions on the Euclidean space of general dimensions. The local well-posedness is proven for dimensions up to eight, together with global existence for dimensions up to five, as well as scattering for small initial data in dimensions greater than three.

Publisher

American Mathematical Society (AMS)

Subject

General Medicine

Link

http://www.ams.org/bproc/2019-06-03/S2330-1511-2019-00042-8/S2330-1511-2019-00042-8.pdf

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