Fokker--Planck equations and n--dimensional Poincaré inequalities for isotropic densities
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917083371012096 |
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| author | Furioli, G. Pulvirenti, A. Terraneo, E. Toscani, G. |
| author_facet | Furioli, G. Pulvirenti, A. Terraneo, E. Toscani, G. |
| contents | We consider new connections between the problem of trend to equilibrium for the n-dimensional Fokker--Planck equation of statistical physics, and weighted Poincaré inequality. To this aim we consider a class of n-dimensional Fokker--Planck equations with variable isotropic coefficient of diffusion and drift, inspired by the analogous one-dimensional Fokker--Planck equation appearing when studying the evolution of wealth distribution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12197 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fokker--Planck equations and n--dimensional Poincaré inequalities for isotropic densities Furioli, G. Pulvirenti, A. Terraneo, E. Toscani, G. Analysis of PDEs We consider new connections between the problem of trend to equilibrium for the n-dimensional Fokker--Planck equation of statistical physics, and weighted Poincaré inequality. To this aim we consider a class of n-dimensional Fokker--Planck equations with variable isotropic coefficient of diffusion and drift, inspired by the analogous one-dimensional Fokker--Planck equation appearing when studying the evolution of wealth distribution. |
| title | Fokker--Planck equations and n--dimensional Poincaré inequalities for isotropic densities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.12197 |