TITLE:
A Remark on Eigenfunction Estimates by Heat Flow
AUTHORS:
Huabin Ge, Yipeng Shi
KEYWORDS:
L∞ Estimates, Eigenfunction, Heat Flow
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.7,
June
27,
2016
ABSTRACT:
In this paper, we consider L∞ estimates of eigenfunction, or more generally,
the L∞ estimates of equation
-Δu=fu. We use heat flow to give a new proof of the L∞ estimates for such type equations.