Local well-posedness for the quantum Zakharov system in one spatial dimension

Yung Fu Fang, Hsi Wei Shih, Kuan Hsiang Wang

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)

摘要

We consider the quantum Zakharov system in one spatial dimension and establish a local well-posedness theory when the initial data of the electric field and the deviation of the ion density lie in a Sobolev space with suitable regularity. As the quantum parameter approaches zero, we formally recover a classical result by Ginibre, Tsutsumi, and Velo. We also improve their result concerning the Zakharov system and a result by Jiang, Lin, and Shao concerning the quantum Zakharov system.

原文English
頁(從 - 到)157-192
頁數36
期刊Journal of Hyperbolic Differential Equations
14
發行號1
DOIs
出版狀態Published - 2017 三月 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics(all)

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