On the parabolic Adams theorem and its applications to diffusion processes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917364037058560 |
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| author | Krylov, N. V. |
| author_facet | Krylov, N. V. |
| contents | We show how the parabolic version of the Adams theorem and its corollary can be used to estimate in $L_{p}$ the evolution family associated to a divergence form second-order parabolic operator with parabolic Morrey lower-order terms and also how to estimate the moments of the derivatives of solutions of Itô equations with respect to the initial data when the drift term has singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08130 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the parabolic Adams theorem and its applications to diffusion processes Krylov, N. V. Probability 60H10, 60J60 We show how the parabolic version of the Adams theorem and its corollary can be used to estimate in $L_{p}$ the evolution family associated to a divergence form second-order parabolic operator with parabolic Morrey lower-order terms and also how to estimate the moments of the derivatives of solutions of Itô equations with respect to the initial data when the drift term has singularities. |
| title | On the parabolic Adams theorem and its applications to diffusion processes |
| topic | Probability 60H10, 60J60 |
| url | https://arxiv.org/abs/2602.08130 |