Comparison of potential theoretic properties of rough domains

DOI10.1090/S0002-9939-06-08685-0zbMath1122.35085MaRDI QIDQ3419902

Krzysztof Burdzy, Zhen-Qing Chen

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

resolventintrinsic ultracontractivityNeumann Laplacianparabolic Harnack principletrap domain

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Probabilistic potential theory (60J45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Unnamed Item
• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• Intrinsic ultracontractivity and the Dirichlet Laplacian
• Lifetimes of conditioned diffusions
• Spectral properties of Neumann Laplacian of horns
• On the ``hot spots conjecture of J. Rauch
• Fiber Brownian motion and the ``hot spots problem
• Reflecting Brownian motions and a deletion result for Sobolev spaces of order \((1,2)\)
• Traps for reflected Brownian motion
• Sobolev Embeddings for Generalized Ridged Domains
• Weak Limits of Stopped Diffusions

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