Estimates on Green functions and Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts

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dc.creatorKim, Panki
dc.creatorSong, Renming
dc.date2006-05-20
dc.date2006-09-19
dc.date.accessioned2026-07-07T07:14:25Z
dc.date.available2026-07-07T07:14:25Z
dc.descriptionIn this paper, we establish sharp two-sided estimates for the Green functions of non-symmetric diffusions with measure-valued drifts in bounded Lipschitz domains. As consequences of these estimates, we get a 3G type theorem and a conditional gauge theorem for these diffusions in bounded Lipschitz domains. We also establish two-sided estimates for the heat kernels of Schrodinger-type operators with measure-valued potential in bounded C^{1,1}-domains and a scale invariant boundary Harnack principle for the positive harmonic functions with respect to Schrodinger-type operators in bounded Lipschitz domains.
dc.identifierhttps://arxiv.org/abs/math/0605557
dc.identifierhttp://arxiv.org/abs/math/0605557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112869
dc.subjectProbability
dc.subject58C60; 60J45
dc.titleEstimates on Green functions and Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts
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