$L_p$-estimates of the conormal derivative problem for parabolic equations with time measurable coefficients and $A_p$-weights
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912668434038784 |
|---|---|
| author | Dong, Hongjie Jung, Pilgyu Kim, Doyoon |
| author_facet | Dong, Hongjie Jung, Pilgyu Kim, Doyoon |
| contents | This paper investigates weighted mixed-norm estimates for divergence-type parabolic equations on Reifenberg-flat domains with the conormal derivative boundary condition. The leading coefficients are assumed to be merely measurable in the time variable and to have small mean oscillations in the spatial variables. In deriving the boundary estimates, we overcome a regularity issue by employing half-time derivative estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21139 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $L_p$-estimates of the conormal derivative problem for parabolic equations with time measurable coefficients and $A_p$-weights Dong, Hongjie Jung, Pilgyu Kim, Doyoon Analysis of PDEs This paper investigates weighted mixed-norm estimates for divergence-type parabolic equations on Reifenberg-flat domains with the conormal derivative boundary condition. The leading coefficients are assumed to be merely measurable in the time variable and to have small mean oscillations in the spatial variables. In deriving the boundary estimates, we overcome a regularity issue by employing half-time derivative estimates. |
| title | $L_p$-estimates of the conormal derivative problem for parabolic equations with time measurable coefficients and $A_p$-weights |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.21139 |