期刊
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS
卷 14, 期 1, 页码 157-192出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219891617500059
关键词
Quantum Zakharov system; local well-posedness; quantum parameter
资金
- MOST(Taiwan)
- NCTS(Taiwan)
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.
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