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has been cited by the following article:
TITLE: Global Existence of the Solution for a Reduced Model of the Vectorial Quantum Zakharov System
AUTHORS: Guiyu Yang
KEYWORDS: Quantum Zakharov System, Global Existence, Logarithmic Sobolev Inequality
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.2, February 29, 2024
ABSTRACT: In this paper, we study the global existence of the smooth solution for a reduced quantum Zakharov system in two spatial dimensions. Using energy estimates and the logarithmic type Sobolev inequality, we show the global existence of the solution to this system without any small condition on the initial data.