ASYMPTOTIC BEHAVIOR OF THE PRINCIPAL EIGENVALUE FOR A CLASS OF NON-LOCAL ELLIPTIC OPERATORS RELATED TO BROWNIAN MOTION WITH SPATIALLY DEPENDENT RANDOM JUMPS

DOI10.1142/S0219199711004555zbMath1235.35207arXiv1105.3613OpenAlexW2964201261MaRDI QIDQ3110886

Nitay Arcusin, Ross G. Pinsky

Publication date: 16 January 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3613

zbMATH Keywords

Brownian motionprincipal eigenvaluerandom space-dependent jumpsnonlocal differential operator

Mathematics Subject Classification ID

Brownian motion (60J65) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Eigenvalue problems for linear operators (47A75)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Spectral analysis of a class of nonlocal elliptic operators related to Brownian motion with random jumps
• Elliptic Partial Differential Equations of Second Order

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