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Luisa Moschini, Alberto Tesei

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

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 .

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 19, 05/2007
Pages: 407 - 427

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