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On the \(L^\infty \)-Uniqueness of Dynamical Systems with Small Random Perturbation

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Abstract

This article is devoted to study the \(L^\infty \)-uniqueness (in the sense of essential self-adjointness) for the generator of a dynamical system with small random perturbation. As consequence is obtained the \(L^1\)-uniqueness of the weak solution of the Cauchy problem for the associated Fokker–Planck–Kolmogorov equation.

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  1. Department of Electrical Engineering and Industrial IT in Hunedoara, Politehnica University Timişoara, 331128, Hunedoara, Romania

    Ludovic Dan Lemle

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  1. Ludovic Dan Lemle
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Dan Lemle, L. On the \(L^\infty \)-Uniqueness of Dynamical Systems with Small Random Perturbation. Results Math 74, 26 (2019). https://doi.org/10.1007/s00025-019-0954-6

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