Finite Dimensionality and Upper Semicontinuity of Kernel Sections for the Discrete Zakharov Equations

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• 作者：Yunyun Liang ; Zhengguang Guo ; Yulin Ying…
• 关键词：Discrete modified Zakharov equations ; Kernel sections ; Fractal dimension ; Upper semicontinuity
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：135-161
• 全文大小：
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206
• 卷排序：40

文摘

In this paper, the authors first prove an upper bound of fractal dimension of kernel sections for the discrete Zakharov equations for plasmas with a quantum correction. Then they establish the upper semicontinuity of the kernel sections when the infinite lattice system is approximated by finite ordinary differential equations.