A PDE approach to small stochastic perturbations of Hamiltonian flows

DOI10.1016/j.jde.2011.08.036zbMath1287.37036OpenAlexW2017721589MaRDI QIDQ652502

Panagiotis E. Souganidis, Hitoshi Ishii

Publication date: 14 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.08.036

zbMATH Keywords

Hamiltonian flowsaveragingstochastic perturbationsPDE approach

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Random dynamical systems (37H99)

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Cites Work

• Random perturbations of nonlinear oscillators
• Random perturbations of dynamical systems and diffusion processes with conservation laws
• On random perturbations of Hamiltonian systems with many degrees of freedom.
• Random perturbations of two-dimensional pseudoperiodic flows
• User’s guide to viscosity solutions of second order partial differential equations
• Random perturbations of Hamiltonian systems
• Stochastic Averaging Near Homoclinic Orbits Via Singular Perturbations
• Differentiable manifolds.

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