Title of article
Critical heat kernel estimates for Schrödinger operators via Hardy–Sobolev inequalities
Author/Authors
G. Barbatis، نويسنده , , S. Filippas، نويسنده , , A. Tertikas ، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
30
From page
1
To page
30
Abstract
We obtain Sobolev inequalities for the Shcrödinger operator −Δ−V, where V has critical behaviour V(x)=((N−2)/2)2|x|−2 near the origin. We apply these inequalities to obtain point-wise estimates on the associated heat kernel, improving upon earlier results.
Keywords
Hardy inequality , Heat kernel estimates , Sobolev inequalities , Singular heat equation
Journal title
Journal of Functional Analysis
Serial Year
2004
Journal title
Journal of Functional Analysis
Record number
761732
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