Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure

DOI10.1016/j.jfa.2007.05.019zbMath1137.35045arXiv0707.0612OpenAlexW1985736708MaRDI QIDQ2460015

Iddo Ben-Ari, Ross G. Pinsky

Publication date: 14 November 2007

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

Full work available at URL: https://arxiv.org/abs/0707.0612

zbMATH Keywords

Markov processspectral analysissecond-order elliptic operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Diffusion processes (60J60) General theory of partial differential operators (47F05)

Related Items (16)

Stochastic approximation of quasi-stationary distributions on compact spaces and applications ⋮ Rigorous Justification of the Fokker--Planck Equations of Neural Networks Based on an Iteration Perspective ⋮ Spectral analysis of the diffusion operator with random jumps from the boundary ⋮ A note on the first passage time of diffusions with holding and jumping boundary ⋮ Diffusions with holding and jumping boundary ⋮ Spectral analysis of diffusions with jump boundary ⋮ Spectral analysis of Brownian motion with jump boundary ⋮ Diffusion with nonlocal Dirichlet boundary conditions on domains ⋮ Dependence of eigenvalues on the diffusion operators with random jumps from the boundary ⋮ MULTIPLICITIES OF EIGENVALUES OF THE DIFFUSION OPERATOR WITH RANDOM JUMPS FROM THE BOUNDARY ⋮ Diffusion with nonlocal boundary conditions ⋮ Spectral analysis of the multidimensional diffusion operator with random jumps from the boundary ⋮ Ergodic behavior of diffusions with random jumps from the boundary ⋮ Spectral analysis of a class of nonlocal elliptic operators related to Brownian motion with random jumps ⋮ A stationary Fleming-Viot type Brownian particle system ⋮ Hydrodynamic limit for the Bak-Sneppen branching diffusions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ergodic behavior of diffusions with random jumps from the boundary
• On the convergence of diffusion processes conditioned to remain in a bounded region for large time to limiting positive recurrent diffusion processes
• Heat content of a Riemannian manifold with a perfect conducting boundary
• Brownian motion on the figure eight
• Ergodic properties of multidimensional Brownian motion with rebirth
• UNIFORM BOUNDS FOR EIGENFUNCTIONS OF THE LAPLACIAN ON MANIFOLDS WITH BOUNDARY*
• Spectral analysis of Brownian motion with jump boundary

This page was built for publication: Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure