Semigroups generated in Lp-spaces by some dispersal process including semi-permeability conditions at the interface
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911119903293440 |
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| author | Djilali, Laïd Labbas, Rabah Medeghri, Ahmed Menad, Abdallah Thorel, Alexandre |
| author_facet | Djilali, Laïd Labbas, Rabah Medeghri, Ahmed Menad, Abdallah Thorel, Alexandre |
| contents | We study an elliptic differential equation set in two habitats under semi-permeability conditions at the interface. This equation describes some dispersal process in population dynamics. Using functional calculus and results in Lutz Weis [22] among others, we show that the associated space operator generates an analytic semigroup in Lp-spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08883 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semigroups generated in Lp-spaces by some dispersal process including semi-permeability conditions at the interface Djilali, Laïd Labbas, Rabah Medeghri, Ahmed Menad, Abdallah Thorel, Alexandre Analysis of PDEs We study an elliptic differential equation set in two habitats under semi-permeability conditions at the interface. This equation describes some dispersal process in population dynamics. Using functional calculus and results in Lutz Weis [22] among others, we show that the associated space operator generates an analytic semigroup in Lp-spaces. |
| title | Semigroups generated in Lp-spaces by some dispersal process including semi-permeability conditions at the interface |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.08883 |