Nonlinear Dirichlet problem of non-local branching processes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913559562158080 |
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| author | Beznea, Lucian Lupascu-Stamate, Oana Teodor, Alexandra |
| author_facet | Beznea, Lucian Lupascu-Stamate, Oana Teodor, Alexandra |
| contents | We present a method of solving a nonlinear Dirichlet problem with discontinuous boundary data and we give a probabilistic representation of the solution using the nonlocal branching process associated with the nonlinear term of the operator. Instead of the pointwise convergence of the solution to the given boundary data we use the controlled convergence which allows to have discontinuities at the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear Dirichlet problem of non-local branching processes Beznea, Lucian Lupascu-Stamate, Oana Teodor, Alexandra Probability Analysis of PDEs 35J60, 60J80, 60J45, 47D07, 60J35 We present a method of solving a nonlinear Dirichlet problem with discontinuous boundary data and we give a probabilistic representation of the solution using the nonlocal branching process associated with the nonlinear term of the operator. Instead of the pointwise convergence of the solution to the given boundary data we use the controlled convergence which allows to have discontinuities at the boundary. |
| title | Nonlinear Dirichlet problem of non-local branching processes |
| topic | Probability Analysis of PDEs 35J60, 60J80, 60J45, 47D07, 60J35 |
| url | https://arxiv.org/abs/2410.16988 |