| Partial Regularity of Suitable Weak Solutions of the Model Arising in Amorphous Molecular Beam Epitaxy |
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| 作者姓名： | Yan Qing WANG Yi Ke HUANG Gang WU Dao Guo ZHOU |
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| 作者单位： | 1. College of Mathematics and Information Science, Zhengzhou University of Light Industry;2. School of Mathematical Sciences, University of Chinese Academy of Sciences;3. School of Mathematics, Hangzhou Normal University |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant Nos. 11971446, 11601492, 11771423 and12071113)；;Natural Science Foundation of He’nan (Grant No. 232300421077)； |
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| 摘 要： | In this paper, we are concerned with the precise relationship between the Hausdorff dimension of possible singular point set S of suitable weak solutions and the parameter α in the nonlinear term in the following parabolic equation■ It is shown that when 5/3 ≤ α < 7/3, the ■-dimensional parabolic Hausdorff measure of S is zero,which generalizes the recent corresponding work of Ozánski and Robinson in SIAM J. Math. Anal.,51, 228–255(2019)] for α = 2 and f = 0. The same result is valid for a 3...
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