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Measure estimates of nodal sets of bi-harmonic functions
Authors:Long Tian  Xiao-Ping Yang
Institution:School of Science, Nanjing University of Science & Technology, Nanjing 210094, PR China
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.
Keywords:31A30  35B05
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