Potential theory of Dirichlet forms degenerate at the boundary: the case of no Killing potential

DOI10.1007/s00208-022-02544-zarXiv2110.11653OpenAlexW4286897089MaRDI QIDQ6144251

Renming Song, Panki Kim, Zoran Vondraček

Publication date: 29 January 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11653

zbMATH Keywords

boundary Harnack principleDirichlet formHunt processGreen function estimatesjump kernelzero killing potential

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stable stochastic processes (60G52) Boundary theory for Markov processes (60J50) Jump processes on general state spaces (60J76)

Cites Work

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• Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations
• Regional fractional Laplacians: boundary regularity
• Boundary blow-up solutions of elliptic equations involving regional fractional Laplacian
• On Liouville type theorems for fully nonlinear elliptic equations with gradient term
• On potential theory of Markov processes with jump kernels decaying at the boundary
• Potential theory of subordinate killed Brownian motion
• Boundary Harnack inequality for Markov processes with jumps
• BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS
• Singular boundary behaviour and large solutions for fractional elliptic equations

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