Perturbed Dynamical Systems with an Attracting Singularity and Weak Viscosity Limits in Hamilton-Jacobi Equations

DOI10.2307/2001485zbMath0714.35008OpenAlexW4234457973MaRDI QIDQ3199879

Perthame, Benoît

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001485

zbMATH Keywords

uniform convergencedynamical systemexponential rateweak viscosity limitsWentzell-Freidlin theorem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hamilton-Jacobi equations in mechanics (70H20) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. II ⋮ Action functional and quasi-potential for the burgers equation in a bounded interval ⋮ User’s guide to viscosity solutions of second order partial differential equations ⋮ The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. I ⋮ Asymptotic analysis of mean exit time for dynamical systems with a single well potential ⋮ A characterization of the reflected quasipotential ⋮ A homogenization approach to flashing ratchets ⋮ Sharp asymptotics of the first exit point density ⋮ Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations ⋮ Finite element approximation of some indefinite elliptic problems ⋮ Elliptic perturbations of dynamical systems with a proper node ⋮ Mean exit time for the overdamped Langevin process: the case with critical points on the boundary

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