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| Measure Estimates of Nodal Sets of Polyharmonic Functions |
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Citation： |
Long TIAN.Measure Estimates of Nodal Sets of Polyharmonic Functions[J].Chinese Annals of Mathematics B,2018,39(5):917~932 |
| Page view： 1326
Net amount： 1418 |
Authors： |
Long TIAN; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11401307, 1150 1292). |
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| 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 $u$. |
Keywords： |
Polyharmonic function, Nodal set, Frequency, Measure estimate,Growth property |
Classification： |
58E10, 53C50 |
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