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

Yung Fu Fang, Hsi Wei Shih, Kuan Hsiang Wang

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)157-192
Number of pages36
JournalJournal of Hyperbolic Differential Equations
Volume14
Issue number1
DOIs
Publication statusPublished - 2017 Mar 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics(all)

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