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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.

KEYWORDS

L∞ Estimates, Eigenfunction, Heat Flow

Cite this paper

Ge, H. and Shi, Y. 2016 A Remark on Eigenfunction Estimates by Heat Flow. Advances in Pure Mathematics, 6, 512-515. doi: 10.4236-apm.2016.67038.





Author: Huabin Ge1, Yipeng Shi2

Source: http://www.scirp.org/



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