Low regularity global well-posedness for the quantum Zakharov system in 1D

Tsai Jung Chen, Yung Fu Fang, Kuan Hsiang Wang

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

In this paper, we consider the quantum Zakharov system in one spatial dimension. We prove the global well-posedness of the system with L2-Schrödinger data and some wave data. The regularity of the wave data is in the largest set. We give counterexamples for the boundary of the set. As the quantum parameter tends to zero, we formally recover the result of Colliander-Holmer-Tzirakis for the classical Zakharov system.

原文English
頁(從 - 到)341-361
頁數21
期刊Taiwanese Journal of Mathematics
21
發行號2
DOIs
出版狀態Published - 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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