Potential theory of Dirichlet forms with jump kernels blowing up at the boundary
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Title: |
Potential theory of Dirichlet forms with jump kernels blowing up at the boundary |
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Speaker: |
Prof. Renming Song,University of Illinois Urbana-Champaign |
| Inviter: |
Prof.DONG ZHAO |
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Time & Venue: |
2023.7.17 15:00 N620 |
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Abstract: |
In this talk, I will present some recent results on potential theory of Dirichlet forms on the half-space R^d_+defined by the jump kernel J(x,y) = |x − y| −d−α B(x,y), where α ∈ (0,2) and B(x,y) can blow up to infinity at the boundary. The main resultsinclude boundary Harnack principle and sharp two-sided Green function estimates.This talk is based on a joint paper with Panki Kim and Zoran Vondracek. |
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