%0 Journal Article
%T A Remark on Eigenfunction  Estimates by Heat Flow
%A Huabin Ge
%A Yipeng Shi
%J Advances in Pure Mathematics
%P 512-515
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.67038
%X <p>
	In this paper, we consider <em>L</em><sup>¡Þ</sup> estimates of eigenfunction, or more generally,
the <em>L</em><sup>¡Þ</sup> estimates of equation
</p>
<p>
	-¦¤u=<em>f</em>u. We use heat flow to give a new proof of the<em> L</em><sup>¡Þ</sup> estimates for such type equations.
</p>
%K &lt
%K i&gt
%K L&lt
%K /i&gt
%K &lt
%K sup&gt
%K &amp
%K infin
%K &lt
%K /sup&gt
%K Estimates
%K Eigenfunction
%K Heat Flow
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=67713