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Brezis, H. and Wainger, S. (1980) A Note on Limiting Cases of Sobolev Embeddings and Convolution Inequalities. Communications in Partial Differential Equations, 5, 773-789.
https://doi.org/10.1080/03605308008820154

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.