Academic Journal
On nonlocal Fokker–Planck equations with nonlinear force fields and perturbations.
| Title: | On nonlocal Fokker–Planck equations with nonlinear force fields and perturbations. |
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| Authors: | Ke, Tran Dinh, Quyet, Dao Trong, Thanh, Dang Thi Phuong |
| Source: | Monatshefte für Mathematik; May2024, Vol. 204 Issue 1, p81-106, 26p |
| Abstract: | We deal with a class of nonlocal Fokker–Planck equations subject to nonlinear force fields and perturbations, where the questions of global solvability and regularity of solutions will be addressed. A representation of solutions to the Cauchy problem is first derived. Then by using the embeddings of fractional Sobolev spaces and fixed point arguments, we show the existence and Hölder regularity of solutions. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 00269255 |
| DOI: | 10.1007/s00605-024-01953-3 |
| Database: | Complementary Index |