Pré-Publication, Document De Travail Année : 2024

The principal eigenvalue problem for time-periodic nonlocal equations with drift

Résumé

In this work, we consider a general time-periodic linear transport equation with integral source term. We prove the existence of a Floquet principal eigenvalue, namely a real number such that the equation rescaled by this number admits nonnegative 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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Dates et versions

hal-04690839 , version 1 (06-09-2024)

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Bertrand Cloez, Adil El Abdouni, Pierre Gabriel. The principal eigenvalue problem for time-periodic nonlocal equations with drift. 2024. ⟨hal-04690839⟩
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