A Remark on Eigenfunction Estimates by Heat Flow - Advances in Pure Mathematics

Volume 6, Issue 7 (June 2016)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

A Remark on Eigenfunction Estimates by Heat Flow ()

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DOI: 10.4236/apm.2016.67038 1,900 Downloads 2,480 Views

Author(s)

Huabin Ge¹, Yipeng Shi²

Affiliation(s)

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

Share and Cite:

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.

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