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Ozawa, T. and Tsutsumi, Y. (1992) Existence and Smoothing Effect of Solutions for the Zakharov Equations. Publications of the Research Institute, 28, 329-361.
https://doi.org/10.2977/prims/1195168430

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.