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The principal eigenvalue of time-periodic nonlocal equations with drift

By Pierre Gabriel

Appears in collection : Non-local branching processes / Processus de branchement non local

We consider a general time-periodic linear transport equation with integral source term and we prove the existence of a Floquet principal eigenvalue, namely a real number such that the equation rescaled by this number admits positive periodic solutions. We also prove the exponential attractiveness of these solutions. The method relies on general spectral results about positive operators.

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Citation data

  • DOI 10.24350/CIRM.V.20248603
  • Cite this video Gabriel, Pierre (26/09/2024). The principal eigenvalue of time-periodic nonlocal equations with drift. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20248603
  • URL https://dx.doi.org/10.24350/CIRM.V.20248603

Bibliography

  • CLOEZ, Bertrand, ABDOUNI, Adil El, et GABRIEL, Pierre. The principal eigenvalue problem for time-periodic nonlocal equations with drift. arXiv preprint arXiv:2409.01868, 2024. - https://doi.org/10.48550/arXiv.2409.01868

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