Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities. (Q1428448)
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| English | Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities. |
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Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities. (English)
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29 March 2004
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The goal of this paper is to obtain some new Hardy-Sobolev inequalities and then use them in order to obtain new heat kernel estimates for the Schrödinger operator \(-\Delta-V\) for positive potentials \(V\) with critical singularities, improving upon analogous estimates of this type.
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singular heat equation
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critical singularities
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