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• W2159451050 abstract "In 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. Informally the Schrödinger-type operators we consider are of the form L+μ⋅∇+ν where L is a uniformly elliptic second order differential operator, μ is a vector-valued signed measure belonging to Kd,1 and ν is a signed measure belonging to Kd,2. In this paper, we establish two-sided estimates for the heat kernels of Schrödinger-type operators in bounded C1,1-domains and a scale invariant boundary Harnack principle for the positive harmonic functions with respect to Schrödinger-type operators in bounded Lipschitz domains." @default.
• W2159451050 created "2016-06-24" @default.
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• W2159451050 date "2007-08-01" @default.
• W2159451050 modified "2023-09-30" @default.
• W2159451050 title "Estimates on Green functions and Schrödinger-type equations for non-symmetric diffusions with measure-valued drifts" @default.
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• W2159451050 doi "https://doi.org/10.1016/j.jmaa.2006.10.014" @default.
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