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Licensed Unlicensed Requires Authentication Published by De Gruyter June 14, 2007

Parabolic Harnack inequality for the heat equation with inverse-square potential

  • Luisa Moschini EMAIL logo and Alberto Tesei
From the journal


A parabolic Harnack inequality for the equation is proved; in particular, this implies a sharp two-sided estimate for the associated heat kernel. Our approach relies on the unitary equivalence between the Schrödinger operator and the weighted Laplacian when .

(Communicated by Giorgio Talenti)

Received: 2005-04-27
Revised: 2005-08-08
Published Online: 2007-06-14
Published in Print: 2007-05-23

© Walter de Gruyter

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