Robin harmonic measure with a variable permeability parameter
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914115123937280 |
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| author | Mayboroda, Svitlana Pacati, Alberto |
| author_facet | Mayboroda, Svitlana Pacati, Alberto |
| contents | In this paper we study the behavior of the solutions to the Robin problem in bounded $1$-sided NTA domains with Ahlfors-David regular boundary, generalizing the results of \cite{DavDEMM} to the case of a non constant Robin parameter. In particular, we will prove the mutual absolute continuity of the Robin harmonic measure with respect to the surface measure in the setting of variable permeability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22354 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robin harmonic measure with a variable permeability parameter Mayboroda, Svitlana Pacati, Alberto Analysis of PDEs 35J25 In this paper we study the behavior of the solutions to the Robin problem in bounded $1$-sided NTA domains with Ahlfors-David regular boundary, generalizing the results of \cite{DavDEMM} to the case of a non constant Robin parameter. In particular, we will prove the mutual absolute continuity of the Robin harmonic measure with respect to the surface measure in the setting of variable permeability. |
| title | Robin harmonic measure with a variable permeability parameter |
| topic | Analysis of PDEs 35J25 |
| url | https://arxiv.org/abs/2510.22354 |