Measure estimates of nodal sets of bi-harmonic functions |
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Authors: | Long Tian Xiao-Ping Yang |
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Affiliation: | School of Science, Nanjing University of Science & Technology, Nanjing 210094, PR China |
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Abstract: | In this paper, we define a frequency for bi-harmonic functions. By using this frequency, we give the measure estimates of nodal sets of bi-harmonic functions. We also show that the frequency has some interesting properties similar to the frequency of harmonic functions. |
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Keywords: | 31A30 35B05 |
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