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PreprintCC BY-NC-ND 4.0arXiv

On uniqueness of probability solutions to one-dimensional Fokker-Planck-Kolmogorov equations

Abstract

We give new sufficient conditions for uniqueness of probability solutions to one-dimensional Fokker-Planck-Kolmogorov equations in the case where the drift coefficient depends on time.

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BibTeX
@misc{bogachev2026uniqueness,
  title = {{On uniqueness of probability solutions to one-dimensional Fokker-Planck-Kolmogorov equations}},
  author = {Vladimir I. Bogachev and Stanislav V. Shaposhnikov},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03856},
  eprint = {2611.03856},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03856},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - On uniqueness of probability solutions to one-dimensional Fokker-Planck-Kolmogorov equations
AU  - Vladimir I. Bogachev
AU  - Stanislav V. Shaposhnikov
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03856
UR  - https://arxiv.org/abs/2611.03856
AB  - We give new sufficient conditions for uniqueness of probability solutions to one-dimensional Fokker-Planck-Kolmogorov equations in the case where the drift coefficient depends on time.
ER  -