@article{0842473e52f54cf496ac3836df2560ca,
title = "Low regularity global well-posedness for the quantum Zakharov system in 1D",
abstract = "In this paper, we consider the quantum Zakharov system in one spatial dimension. We prove the global well-posedness of the system with L2-Schr{\"o}dinger 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.",
author = "Chen, {Tsai Jung} and Fang, {Yung Fu} and Wang, {Kuan Hsiang}",
note = "Funding Information: The second author wants to express his gratitude to Manoussos Grillakis and Kenji Nakanishi for inspiring conversation during the visits at University of Maryland and Kyoto University. The second author was also partially supported by NSC (Taiwan) and by NCTS (South). Publisher Copyright: {\textcopyright} 2017, Mathematical Society of the Rep. of China. All rights reserved. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",
year = "2017",
doi = "10.11650/tjm/7806",
language = "English",
volume = "21",
pages = "341--361",
journal = "Taiwanese Journal of Mathematics",
issn = "1027-5487",
publisher = "Mathematical Society of the Rep. of China",
number = "2",
}