| 混合边值条件下Laplace方程的等谱问题以及分形鼓 |
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| 引用本文： | 曾庆斌,陈化.混合边值条件下Laplace方程的等谱问题以及分形鼓[J].数学杂志,2004,24(5):485-492. |
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| 作者姓名： | 曾庆斌 陈化 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | 973projectbyNationalScienceandTechnologyDepartmen |
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| 摘 要： | 本文将首先在R^2和R^3中各自构造出一对混合边值条件的等谱非等距同构的基本构件。并且在R^2中利用自相似的方法构造出相应的等谱非等距同构分形鼓．在此基础上，本文讨论了这类分形鼓的波数目函数的渐近估计．得到其第二项系数的上界和下界估计。
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| 关 键 词： | 混合边值 等谱非等距同构 分形鼓 波数目函数 Weyl-Berry猜想 |
ISOSPECTRAL PROBLEM FOR LAPLACIAN WITH MIXED BOUNDARY-VALUE CONDITIONS AND FRACTAL DRUMS |
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| Abstract.ISOSPECTRAL PROBLEM FOR LAPLACIAN WITH MIXED BOUNDARY-VALUE CONDITIONS AND FRACTAL DRUMS[J].Journal of Mathematics,2004,24(5):485-492. |
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| Authors: | Abstract |
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| Abstract: | In the paper we construct two pairs of non-isometric isospectral domains with mixed boundary-value conditions in R~2 and R~3 respectively, and we also construct corresponding non\|isometric isospectral fractal drums in R~2. Moreover,we give the estimates for the second term of corresponding counting function.( |
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| Keywords: | non-isometric isospectral mixed boundary-value condition fractal drum counting function |
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