Some refinements of existence results for SPDEs driven by Wiener processes and Poisson random measures
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2019
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914164991066112 |
|---|---|
| author | Tappe, Stefan |
| author_facet | Tappe, Stefan |
| contents | We provide existence and uniqueness of global (and local) mild solutions for a general class of semilinear stochastic partial differential equations driven by Wiener processes and Poisson random measures under local Lipschitz and linear growth (or local boundedness, resp.) conditions. The so-called "method of the moving frame" allows us to reduce the SPDE problems to SDE problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_02362 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Some refinements of existence results for SPDEs driven by Wiener processes and Poisson random measures Tappe, Stefan Probability Functional Analysis 60H15, 60G57 We provide existence and uniqueness of global (and local) mild solutions for a general class of semilinear stochastic partial differential equations driven by Wiener processes and Poisson random measures under local Lipschitz and linear growth (or local boundedness, resp.) conditions. The so-called "method of the moving frame" allows us to reduce the SPDE problems to SDE problems. |
| title | Some refinements of existence results for SPDEs driven by Wiener processes and Poisson random measures |
| topic | Probability Functional Analysis 60H15, 60G57 |
| url | https://arxiv.org/abs/1907.02362 |