Asymptotics of the principal eigenvalue and expected hitting time for positive recurrent elliptic operators in a domain with a small puncture

DOI10.1016/S0022-1236(02)00111-8zbMath1018.60078MaRDI QIDQ1874457

Ross G. Pinsky

Publication date: 25 May 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

principal eigenvaluepositive recurrencehitting timereflected diffusion processes

Mathematics Subject Classification ID

Brownian motion (60J65) Estimates of eigenvalues in context of PDEs (35P15) Diffusion processes (60J60)

Related Items (6)

Transport properties of diffusive particles conditioned to survive in trapping environments ⋮ Statistical and transport properties of a one-dimensional random walk with periodically distributed trapping intervals ⋮ Narrow escape. I ⋮ Narrow escape. II: The circular disk ⋮ The asymptotic shift for the principal eigenvalue for second order elliptic operators in the presence of small obstacles ⋮ Survival probability of random walks leaping over traps

Cites Work

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• Spectra of manifolds less a small domain
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• Potential and scattering theory on wildly perturbed domains
• Probabilistic methods in some problems of scattering theory
• Cover times for Brownian motion and random walks in two dimensions
• On positivity of solutions of degenerate boundary value problems for second-order elliptic equations.
• Diffusion processes with boundary conditions

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