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A Liouville-type result for non-cooperative Fisher--KPP systems and nonlocal equations in cylinders
| hal.structure.identifier | Université Paris-Sud - Paris 11 - Faculté des Sciences [UP11 UFR Sciences] | |
| dc.contributor.author | GIRARDIN, Léo | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GRIETTE, Quentin | |
| dc.date.accessioned | 2024-04-04T02:55:30Z | |
| dc.date.available | 2024-04-04T02:55:30Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0167-8019 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192368 | |
| dc.description.abstractEn | We address the uniqueness of the nonzero stationary state for a reaction-diffusion system of Fisher-KPP type that does not satisfy the comparison principle. Although the uniqueness is false in general, it turns out to be true under biologically natural assumptions on the parameters. This Liouville-type result is then used to characterize the wake of traveling waves. All results are extended to an analogous nonlocal reaction-diffusion equation that contains as a particular case the cane toads equation with bounded traits. | |
| dc.description.sponsorship | Phénomènes de propagation et équations non locales - ANR-14-CE25-0013 | |
| dc.description.sponsorship | LabEx Mathématique Hadamard - ANR-11-LABX-0056 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | KPP nonlinearity | |
| dc.subject.en | reaction--diffusion system | |
| dc.subject.en | cane toads equation | |
| dc.subject.en | Liouville-type result | |
| dc.subject.en | traveling wave | |
| dc.title.en | A Liouville-type result for non-cooperative Fisher--KPP systems and nonlocal equations in cylinders | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1912.06389 | |
| bordeaux.journal | Acta Applicandae Mathematicae | |
| bordeaux.page | 123-139 | |
| bordeaux.volume | 170 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02406343 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02406343v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Applicandae%20Mathematicae&rft.date=2020&rft.volume=170&rft.spage=123-139&rft.epage=123-139&rft.eissn=0167-8019&rft.issn=0167-8019&rft.au=GIRARDIN,%20L%C3%A9o&GRIETTE,%20Quentin&rft.genre=article |
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