Critical heat kernel estimates via Hardy-Sobolev inequalities

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dc.creatorBarbatis, G.
dc.creatorFilippas, S.
dc.creatorTertikas, A.
dc.date2003-02-26
dc.date.accessioned2026-07-07T04:55:37Z
dc.date.available2026-07-07T04:55:37Z
dc.descriptionWe obtain Sobolev inequalities for the Schrodinger 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 pointwise estimates on the associated heat kernel, improving upon earlier results.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0302331
dc.identifierhttp://arxiv.org/abs/math/0302331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66638
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject35K65 (Primary) 26D10, 35K20, 35B05 (Secondary)
dc.titleCritical heat kernel estimates via Hardy-Sobolev inequalities
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