Measure Estimates of Nodal Sets of Polyharmonic Functions
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This paper deals with the function u which satisfies △ku = 0, where k ≥ 2 is an integer. Such a function u is called a polyharmonic function. The author gives an upper bound of the measure of the nodal set of u, and shows some growth property of u.
KeywordsPolyharmonic function Nodal set Frequency Measure estimate Growth property
2000 MR Subject Classification58E10 53C50
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