%0 Journal Article
%T Critical heat kernel estimates via Hardy-Sobolev inequalities
%A G. Barbatis
%A S. Filippas
%A A. Tertikas
%J Mathematics
%D 2003
%I arXiv
%X We obtain Sobolev inequalities for the Schrodinger operator -\Delta-V, where V has critical behaviour V(x)=((N-2)/2)^2|x|^{-2} near the origin. We apply these inequalities to obtain pointwise estimates on the associated heat kernel, improving upon earlier results.
%U http://arxiv.org/abs/math/0302331v1