On the \(L^\infty\)-uniqueness of dynamical systems with small random perturbation

DOI10.1007/s00025-019-0954-6zbMath1407.34081OpenAlexW2909993905MaRDI QIDQ1729915

Ludovic Dan Lemle

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-0954-6

zbMATH Keywords

uniquenessdynamical systemsFokker-Planck equationsmall random perturbation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Ordinary differential equations and systems with randomness (34F05) Fokker-Planck equations (35Q84)

Related Items (1)

On the Lie-Trotter approximation formula

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the \(L^\infty \)-uniqueness of symmetric diffusion operators on complete non-compact Riemannian manifolds
• Uniqueness of \(C _{0}\)-semigroups on a general locally convex vector space and an application
• On the uniqueness of integrable and probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equations
• A new topological approach to the \(L^{\infty }\)-uniqueness of operators and the \(L^{1}\)-uniqueness of Fokker--Planck equations
• \(L^p\)-uniqueness for elliptic operators with unbounded coefficients in \(\mathbb R^N\)
• The essential self-adjointness of generalized Schrödinger operators
• Uniqueness of generalized Schrödinger operators and applications
• An approximate criterium of essential self-adjointness of Dirichlet operators
• Uniqueness of Schrödinger operators restricted in a domain
• On the uniqueness problem for Dirichlet operators
• Uniqueness of Nelson's diffusions
• Uniqueness of generalized Schrödinger operators. II
• \(L^p\) uniqueness of non-symmetric diffusion operators with singular drift coefficients
• Time-dependent diffusion operators on \(L^1\)
• Cores of second order differential linear operators with unbounded coefficients on \(\mathbb R^N\)
• Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
• On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures
• Note on Kato's type inequality
• On Parabolic Equations for Measures

This page was built for publication: On the \(L^\infty\)-uniqueness of dynamical systems with small random perturbation