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Global Existence of the Solution for a Reduced Model of the Vectorial Quantum Zakharov System

Global Existence of the Solution for a Reduced Model of the Vectorial Quantum Zakharov System
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摘要 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. 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.
作者 Guiyu Yang Guiyu Yang(College of Mathematical Science, Zhejiang Normal University, Zhejiang, China;College of Data Science, Jiaxing University, Zhejiang, China)
出处 《Journal of Applied Mathematics and Physics》 2024年第2期533-542,共10页 应用数学与应用物理(英文)
关键词 Quantum Zakharov System Global Existence Logarithmic Sobolev Inequality Quantum Zakharov System Global Existence Logarithmic Sobolev Inequality
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