Convergence to equilibrium for a degenerate McKean-Vlasov Equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913569180745728 |
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| author | Duong, Manh Hong Einav, Amit |
| author_facet | Duong, Manh Hong Einav, Amit |
| contents | In this work we study the convergence to equilibrium for a (potentially) degenerate nonlinear and nonlocal McKean-Vlasov equation. We show that the solution to this equation is related to the solution of a linear degenerate and/or defective Fokker-Planck equation and employ recent sharp convergence results to obtain an easily computable (and many times sharp) rates of convergence to equilibrium for the equation in question. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16677 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convergence to equilibrium for a degenerate McKean-Vlasov Equation Duong, Manh Hong Einav, Amit Analysis of PDEs Mathematical Physics Probability In this work we study the convergence to equilibrium for a (potentially) degenerate nonlinear and nonlocal McKean-Vlasov equation. We show that the solution to this equation is related to the solution of a linear degenerate and/or defective Fokker-Planck equation and employ recent sharp convergence results to obtain an easily computable (and many times sharp) rates of convergence to equilibrium for the equation in question. |
| title | Convergence to equilibrium for a degenerate McKean-Vlasov Equation |
| topic | Analysis of PDEs Mathematical Physics Probability |
| url | https://arxiv.org/abs/2307.16677 |