On the Laplace equation with non-local dynamical boundary conditions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909418116874240 |
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| author | Capitanelli, Raffaela D'Ovidio, Mirko |
| author_facet | Capitanelli, Raffaela D'Ovidio, Mirko |
| contents | Aim of the paper is to study non-local dynamic boundary conditions of reactive-diffusive type for the Laplace equation from analytic and probabilistic point of view. In particular, we provide compact and probabilistic representation of the solution together with an interpretation in term of boundary processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04973 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Laplace equation with non-local dynamical boundary conditions Capitanelli, Raffaela D'Ovidio, Mirko Probability Analysis of PDEs 60J50, 35J25 Aim of the paper is to study non-local dynamic boundary conditions of reactive-diffusive type for the Laplace equation from analytic and probabilistic point of view. In particular, we provide compact and probabilistic representation of the solution together with an interpretation in term of boundary processes. |
| title | On the Laplace equation with non-local dynamical boundary conditions |
| topic | Probability Analysis of PDEs 60J50, 35J25 |
| url | https://arxiv.org/abs/2412.04973 |