Mathematics – Probability
Scientific paper
2006-05-20
Mathematics
Probability
Scientific paper
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. 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.
Kim Panki
Song Renming
No associations
LandOfFree
Estimates on Green functions and Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Estimates on Green functions and Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Estimates on Green functions and Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-243485