Potential stability of the Fokker–Planck equation

Ming Jiea Lyu; Dong Ho Tsai; Kuang Yu Wu; Kung Chien Wu

doi:10.1007/s00028-024-00973-8

Potential stability of the Fokker–Planck equation

Ming Jiea Lyu, Dong Ho Tsai, Kuang Yu Wu, Kung Chien Wu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the kinetic Fokker–Planck equations with either a confining potential or a friction potential in the whole space. We prove that the solutions of such Fokker–Planck equations are L² stable under L^∞ perturbations of potentials.

Original language	English
Article number	46
Journal	Journal of Evolution Equations
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/s00028-024-00973-8
Publication status	Published - 2024 Jun

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1007/s00028-024-00973-8

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title = "Potential stability of the Fokker–Planck equation",

abstract = "We consider the kinetic Fokker–Planck equations with either a confining potential or a friction potential in the whole space. We prove that the solutions of such Fokker–Planck equations are L2 stable under L∞ perturbations of potentials.",

author = "Lyu, {Ming Jiea} and Tsai, {Dong Ho} and Wu, {Kuang Yu} and Wu, {Kung Chien}",

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AU - Tsai, Dong Ho

AU - Wu, Kuang Yu

AU - Wu, Kung Chien

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Potential stability of the Fokker–Planck equation

Abstract

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