Dirichlet Form of Product of Variational Fractais |
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作者姓名: | 刘源 |
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作者单位: | DepartmentofMathematicalSciences,TsinghuaUniversity,Beiiing100084,China |
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摘 要: | Much effort has gone into constructing Dirichlet forms to define Laplacians on self-similar sets.However, the results have only been successful on p. c.f. (post critical finite) fractals. We prove the existence of a Dirichlet form on a class of non- p. c.f. sets that are the product of variational fractals.
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关 键 词: | 自相似集 拉普拉斯算子 超临界有限分形 狄利克雷型 |
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