An abstract Gronwall inequality on a Banach lattice
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918202537148416 |
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| author | Amster, Pablo Epstein, Julián |
| author_facet | Amster, Pablo Epstein, Julián |
| contents | An abstract version of the celebrated inequality is described by means of the spectral bound of an operator defined on a Banach lattice. As a consequence, uniqueness and continuous dependence results for the general semilinear problem $Lu=N(u)$ are established and a connection with the maximum principle is explored. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03604 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An abstract Gronwall inequality on a Banach lattice Amster, Pablo Epstein, Julián Classical Analysis and ODEs 34K38, 46B42 An abstract version of the celebrated inequality is described by means of the spectral bound of an operator defined on a Banach lattice. As a consequence, uniqueness and continuous dependence results for the general semilinear problem $Lu=N(u)$ are established and a connection with the maximum principle is explored. |
| title | An abstract Gronwall inequality on a Banach lattice |
| topic | Classical Analysis and ODEs 34K38, 46B42 |
| url | https://arxiv.org/abs/2308.03604 |