The asymptotic behavior of the principal eigenvalue in a singular perturbation problem with invariant boundaries

DOI10.1007/BF00960068zbMath0632.60051OpenAlexW2030075097MaRDI QIDQ1095495

Alexander Eizenberg, Yuri Kifer

Publication date: 1987

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00960068

zbMATH Keywords

asymptotic behaviourprincipal eigenvaluediffusion random perturbation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Boundary value problems on manifolds (58J32) Transition functions, generators and resolvents (60J35)

Related Items

Singularly perturbed spectral problems with Neumann boundary conditions, Exit time asymptotics for small noise stochastic delay differential equations, Averaging principle for perturbed random evolution equations and corresponding Dirichlet problems, On the first eigenpair of singularly perturbed operators with oscillating coefficients, The exponential leveling and the Ventcel-Freidlin ``minimal action function, Transient dynamics of absorbed singular diffusions, Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states

Cites Work

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• Invariant manifolds
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