Measure Estimates of Nodal Sets of Polyharmonic Functions


Long TIAN.Measure Estimates of Nodal Sets of Polyharmonic Functions[J].Chinese Annals of Mathematics B,2018,39(5):917~932
Page view: 338        Net amount: 624


Long TIAN;


This work was supported by the National Natural Science Foundation of China (Nos.11401307, 1150 1292).
Abstract: This paper deals with the function $u$ which satisfies $\triangle^ku=0$, where $k\geq2$ 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 $u$.


Polyharmonic function, Nodal set, Frequency, Measure estimate,Growth property


58E10, 53C50
Download PDF Full-Text

Organizer:The Ministry of Education of China Sponsor:Fudan University Address:220 Handan Road, Fudan University, Shanghai, China
Designed by Beijing E-Tiller Co.,Ltd.