A Remark on Eigenfunction Estimates by Heat Flow

Ge, Huabin; Shi, Yipeng
URI: http://dx.doi.org/10.4236/apm.2016.67038
http://hdl.handle.net/123456789/889
Date: 2016-06

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.

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