dc.contributor.author | Hömberg, Dietmar Josef | |
dc.contributor.author | Lasarzik, Robert | |
dc.contributor.author | Plato, Luisa | |
dc.date.accessioned | 2024-08-22T12:42:02Z | |
dc.date.available | 2024-08-22T12:42:02Z | |
dc.date.created | 2023-03-13T10:24:38Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Journal of evolution equations. 2023, 23, 1-44. | en_US |
dc.identifier.issn | 1424-3199 | |
dc.identifier.uri | https://hdl.handle.net/11250/3147632 | |
dc.description.abstract | In this paper we consider a pair of coupled nonlinear partial differential equations describing the interaction of a predator–prey pair including random movement as well as prey-taxis. We introduce a concept of generalized solutions and show the existence of such solutions in all space dimensions with the aid of a regularizing term. Additionally, we prove the weak–strong uniqueness of these generalized solutions and the existence of strong solutions at least locally in time for space dimension two and three. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer Nature | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | On the existence of generalized solutions to a spatio-temporal predator–prey system with prey-taxis | en_US |
dc.title.alternative | On the existence of generalized solutions to a spatio-temporal predator–prey system with prey-taxis | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 1-44 | en_US |
dc.source.volume | 23 | en_US |
dc.source.journal | Journal of evolution equations | en_US |
dc.identifier.doi | 10.1007/s00028-023-00871-5 | |
dc.identifier.cristin | 2133403 | |
dc.source.articlenumber | 20 | en_US |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.qualitycode | 1 | |