@article{a5799456f08840558c01bf0ce6e4bedd,
title = "Local well-posedness for the quantum Zakharov system",
abstract = "We consider the quantum Zakharov system in spatial dimensions greater than 1. The local well-posedness is obtained for initial data of the electric field and of the ion density lying in some Sobolev spaces with certain regularities. For higher dimensions, the results cover the subcritical region. We get major part of the subcritical region for lower dimensions. For the quantum Zakharov system with initial data possessing the critical regularities, the local well-posedness is also proved for spatial dimensions greater than 7. As the quantum parameter approaches zero, we prove the local well-posedness for Zakharov system which improves the known result.",
author = "Fang, {Yung Fu} and Wang, {Kuan Hsiang}",
note = "Funding Information: TIMS, and NCTS (Taiwan). Also the first author wants to express his gratitude towards Kenji Nakanishi, Satoshi Masaki, and Jun-ichi Segata for their inspiring conversation and the hospitality during the visit at Kyoto University, Osaka University, and Tohoku University. The second author was partially supported by MOST, Taiwan (Grant No. 107-2811-M-390-501). Funding Information: The first author was partially supported by MOST, MRPC, TIMS, and NCTS (Taiwan). Also the first author wants to express his gratitude towards Kenji Nakanishi, Satoshi Masaki, and Jun-ichi Segata for their inspiring conversation and the hospitality during the visit at Kyoto University, Osaka University, and Tohoku University. The second author was partially supported by MOST, Taiwan (Grant No. 107-2811-M-390-501). Funding Information: Acknowledgement. The first author was partially supported by MOST, MRPC, Publisher Copyright: {\textcopyright} 2020 International Press.",
year = "2020",
doi = "10.4310/CMS.2020.V18.N5.A9",
language = "English",
volume = "18",
pages = "1383--1411",
journal = "Communications in Mathematical Sciences",
issn = "1539-6746",
publisher = "International Press of Boston, Inc.",
number = "5",
}