The principal eigenvalue problem for time-periodic nonlocal equations with drift
Analysis of PDEs
2024-09-04 v1 Functional Analysis
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2409.01868,
title = {The principal eigenvalue problem for time-periodic nonlocal equations with drift},
author = {Bertrand Cloez and Adil El Abdouni and Pierre Gabriel},
journal= {arXiv preprint arXiv:2409.01868},
year = {2024}
}