On the \(L^\infty \)-uniqueness of symmetric diffusion operators on complete non-compact Riemannian manifolds

DOI10.1007/s12220-014-9517-yzbMath1332.81057OpenAlexW2148129560WikidataQ115376841 ScholiaQ115376841MaRDI QIDQ253801

Ludovic Dan Lemle

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-014-9517-y

zbMATH Keywords

diffusionweak solutionFokker-Planck equationRiemannian manifold\(L^\infty \)-uniqueness

Mathematics Subject Classification ID

Diffusion processes (60J60) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Diffusion processes and stochastic analysis on manifolds (58J65) Weak solutions to PDEs (35D30) Fokker-Planck equations (35Q84)

Related Items (3)

On the \(L^\infty\)-uniqueness of dynamical systems with small random perturbation ⋮ \(L^1\)-uniqueness of the Fokker-Planck equation on a Riemannian manifold ⋮ On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation

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